Abdul-Majid Wazwaz
Orcid: 0000-0002-8325-7500Affiliations:
- Saint Xavier University, Chicago, IL, USA
According to our database1,
Abdul-Majid Wazwaz
authored at least 217 papers
between 1995 and 2023.
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Bibliography
2023
Resonance, fusion and fission dynamics of bifurcation solitons and hybrid rogue wave structures of Sawada-Kotera equation.
Commun. Nonlinear Sci. Numer. Simul., May, 2023
A novel numerical approach and stability analysis for a class of pantograph delay differential equation.
J. Comput. Sci., March, 2023
Simulation Studies on the Dissipative Modified Kawahara Solitons in a Complex Plasma.
Symmetry, 2023
2022
Lie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional KP Equations.
Symmetry, 2022
2021
A new (3+1)-dimensional Kadomtsev-Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves.
Math. Comput. Simul., 2021
2020
A (2+1)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation: Painlevé integrability and multiple soliton solutions.
Comput. Math. Appl., 2020
2019
Commun. Nonlinear Sci. Numer. Simul., 2019
Multiple complex soliton solutions for integrable negative-order KdV and integrable negative-order modified KdV equations.
Appl. Math. Lett., 2019
Analytic study on triple-S, triple-triangle structure interactions for solitons in inhomogeneous multi-mode fiber.
Appl. Math. Comput., 2019
2018
General high-order breathers and rogue waves in the (3+1)-dimensional KP-Boussinesq equation.
Commun. Nonlinear Sci. Numer. Simul., 2018
Analyzing the combined multi-waves polynomial solutions in a two-layer-liquid medium.
Comput. Math. Appl., 2018
Appl. Soft Comput., 2018
Design of neuro-evolutionary model for solving nonlinear singularly perturbed boundary value problems.
Appl. Soft Comput., 2018
An efficient algorithm to construct multi-soliton rational solutions of the (2+ 1)-dimensional KdV equation with variable coefficients.
Appl. Math. Comput., 2018
2017
Frontiers Inf. Technol. Electron. Eng., 2017
A semi-analytical algorithm to solve systems of integro-differential equations under mixed boundary conditions.
J. Comput. Appl. Math., 2017
J. Comput. Appl. Math., 2017
Higher order numeric solutions of the Lane-Emden-type equations derived from the multi-stage modified Adomian decomposition method.
Int. J. Comput. Math., 2017
Appl. Math. Lett., 2017
Appl. Math. Lett., 2017
2016
Two reliable methods for solving the Volterra integral equation with a weakly singular kernel.
J. Comput. Appl. Math., 2016
An efficient semi-numerical technique for solving nonlinear singular boundary value problems arising in various physical models.
Int. J. Comput. Math., 2016
Stochastic numerical solver for nanofluidic problems containing multi-walled carbon nanotubes.
Appl. Soft Comput., 2016
Appl. Math. Lett., 2016
Kadomtsev-Petviashvili hierarchy: N-soliton solutions and distinct dispersion relations.
Appl. Math. Lett., 2016
2015
Nature-inspired computing approach for solving non-linear singular Emden-Fowler problem arising in electromagnetic theory.
Connect. Sci., 2015
Appl. Math. Lett., 2015
Appl. Math. Lett., 2015
2014
Traveling wave solutions for fifth-order KdV type equations with time-dependent coefficients.
Commun. Nonlinear Sci. Numer. Simul., 2014
Appl. Math. Lett., 2014
Appl. Math. Lett., 2014
2013
A reliable modification of the Adomian decomposition method for higher-order nonlinear differential equations.
Kybernetes, 2013
Appl. Math. Lett., 2013
Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions.
Appl. Math. Comput., 2013
Appl. Math. Comput., 2013
Appl. Math. Comput., 2013
2012
Math. Comput. Model., 2012
One and two soliton solutions for the sinh-Gordon equation in (1+1), (2+1) and (3+1) dimensions.
Appl. Math. Lett., 2012
Multiple soliton solutions for some (3+1 )-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy.
Appl. Math. Lett., 2012
A study on the (2+1)-dimensional and the (2+1)-dimensional higher-order Burgers equations.
Appl. Math. Lett., 2012
(2+1)-Dimensional mKdV (N) equations by the mKdV recursion operator: Multiple soliton and multiple singular soliton solutions.
Appl. Math. Comput., 2012
Structures of multiple soliton solutions of the generalized, asymmetric and modified Nizhnik-Novikov-Veselov equations.
Appl. Math. Comput., 2012
2011
Comparison of the Adomian decomposition method and the variational iteration method for solving the Lane-Emden equations of the first and second kinds.
Kybernetes, 2011
The variational iteration method for solving systems of equations of Emden-Fowler type.
Int. J. Comput. Math., 2011
Comput. Math. Appl., 2011
A reliable treatment of singular Emden-Fowler initial value problems and boundary value problems.
Appl. Math. Comput., 2011
N-soliton solutions for shallow water waves equations in (1 + 1) and (2 + 1) dimensions.
Appl. Math. Comput., 2011
Dark solitons for a combined potential KdV and Schwarzian KdV equations with t-dependent coefficients and forcing term.
Appl. Math. Comput., 2011
2010
Solitary wave solutions for a generalized KdV-mKdV equation with variable coefficients.
Math. Comput. Simul., 2010
J. Frankl. Inst., 2010
The variational iteration method for solving linear and nonlinear Volterra integral and integro-differential equations.
Int. J. Comput. Math., 2010
Soliton solution for an inhomogeneous highly dispersive media with a dual-power nonlinearity law.
Int. J. Comput. Math., 2010
Int. J. Comput. Math., 2010
Multiple soliton solutions for the sixth-order Ramani equation and a coupled Ramani equation.
Appl. Math. Comput., 2010
A variety of exact travelling wave solutions for the (2 + 1)-dimensional Boiti-Leon-Pempinelli equation.
Appl. Math. Comput., 2010
Multiple soliton solutions for the Bogoyavlenskii's generalized breaking soliton equations and its extension form.
Appl. Math. Comput., 2010
Multiple kink solutions for M-component Burgers equations in (1+1)-dimensions and (2+1)-dimensions.
Appl. Math. Comput., 2010
A study on KdV and Gardner equations with time-dependent coefficients and forcing terms.
Appl. Math. Comput., 2010
Appl. Math. Comput., 2010
N-soliton solutions for the integrable bidirectional sixth-order Sawada-Kotera equation.
Appl. Math. Comput., 2010
The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations.
Appl. Math. Comput., 2010
Four (2 + 1)-dimensional integrable extensions of the Kadomtsev-Petviashvili equation.
Appl. Math. Comput., 2010
Appl. Math. Comput., 2010
Bright soliton solution to a generalized Burgers-KdV equation with time-dependent coefficients.
Appl. Math. Comput., 2010
2009
Adomian Decomposition Method Applied to Non-linear Evolution Equations in Soliton Theory.
Proceedings of the Encyclopedia of Complexity and Systems Science, 2009
A (3 + 1)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions.
Appl. Math. Comput., 2009
Four (2 + 1)-dimensional integrable extensions of the KdV equation: Multiple-soliton and multiple singular soliton solutions.
Appl. Math. Comput., 2009
The variational iteration method for analytic treatment for linear and nonlinear ODEs.
Appl. Math. Comput., 2009
Multiple-soliton solutions and multiple-singular soliton solutions for two higher-dimensional shallow water wave equations.
Appl. Math. Comput., 2009
Two systems of two-component integrable equations: Multiple soliton solutions and multiple singular soliton solutions.
Appl. Math. Comput., 2009
The Cole-Hopf transformation and multiple soliton solutions for the integrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota equation.
Appl. Math. Comput., 2009
Appl. Math. Comput., 2009
2008
Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff, Jimbo-Miwa and YTSF equations.
Appl. Math. Comput., 2008
Appl. Math. Comput., 2008
Multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation.
Appl. Math. Comput., 2008
Erratum to: "Multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation" [Appl. Math. Comput. 203 (2008) 277-283]
Appl. Math. Comput., 2008
The integrable KdV6 equations: Multiple soliton solutions and multiple singular soliton solutions.
Appl. Math. Comput., 2008
Multiple soliton solutions and multiple singular soliton solutions for the (3 + 1)-dimensional Burgers equations.
Appl. Math. Comput., 2008
Multiple kink solutions and multiple singular kink solutions for the (2 + 1)-dimensional Burgers equations.
Appl. Math. Comput., 2008
Regular soliton solutions and singular soliton solutions for the modified Kadomtsev-Petviashvili equations.
Appl. Math. Comput., 2008
Appl. Math. Comput., 2008
Appl. Math. Comput., 2008
Multiple-soliton solutions for the generalized (1+1)-dimensional and the generalized (2+1)-dimensional Ito equations.
Appl. Math. Comput., 2008
Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota's method, tanh-coth method and Exp-function method.
Appl. Math. Comput., 2008
Appl. Math. Comput., 2008
The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves.
Appl. Math. Comput., 2008
Appl. Math. Comput., 2008
Appl. Math. Comput., 2008
The Hirota's bilinear method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petviashvili equation.
Appl. Math. Comput., 2008
The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation.
Appl. Math. Comput., 2008
Appl. Math. Comput., 2008
Appl. Math. Comput., 2008
New solutions of distinct physical structures to high-dimensional nonlinear evolution equations.
Appl. Math. Comput., 2008
Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations.
Appl. Math. Comput., 2008
The tanh-coth and the sine-cosine methods for kinks, solitons, and periodic solutions for the Pochhammer-Chree equations.
Appl. Math. Comput., 2008
2007
New kinks and solitons solutions to the (2+1) -dimensional Konopelchenko-Dubrovsky equation.
Math. Comput. Model., 2007
New soliton and periodic solutions for the fifth-order forms of the Lax and Sawada-Kotera equations.
Int. J. Comput. Math., 2007
The variational iteration method: A powerful scheme for handling linear and nonlinear diffusion equations.
Comput. Math. Appl., 2007
The variational iteration method: A reliable analytic tool for solving linear and nonlinear wave equations.
Comput. Math. Appl., 2007
Comput. Math. Appl., 2007
Comput. Math. Appl., 2007
New solitary wave and periodic wave solutions to the (2+1)-dimensional Nizhnik-Novikov-Veselov system.
Appl. Math. Comput., 2007
The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations.
Appl. Math. Comput., 2007
The variational iteration method for a reliable treatment of the linear and the nonlinear Goursat problem.
Appl. Math. Comput., 2007
Appl. Math. Comput., 2007
Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method.
Appl. Math. Comput., 2007
The tanh-coth method for new compactons and solitons solutions for the K(n, n) and the K(n+1, n+1) equations.
Appl. Math. Comput., 2007
The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations.
Appl. Math. Comput., 2007
Appl. Math. Comput., 2007
The variational iteration method for solving two forms of Blasius equation on a half-infinite domain.
Appl. Math. Comput., 2007
The extended tanh method for abundant solitary wave solutions of nonlinear wave equations.
Appl. Math. Comput., 2007
New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations.
Appl. Math. Comput., 2007
2006
The variable separated ODE method for travelling wave solutions for the Boussinesq-double sine-Gordon and the Boussinesq-double sinh-Gordon equations.
Math. Comput. Simul., 2006
Exact solutions for the fourth order nonlinear Schrodinger equations with cubic and power law nonlinearities.
Math. Comput. Model., 2006
Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity.
Math. Comput. Model., 2006
Appl. Math. Lett., 2006
Explicit and implicit solutions for the one-dimensional cubic and quintic complex Ginzburg-Landau equations.
Appl. Math. Lett., 2006
Kinks and solitons solutions for the generalized KdV equation with two power nonlinearities.
Appl. Math. Comput., 2006
Travelling wave solutions for combined and double combined sine-cosine-Gordon equations by the variable separated ODE method.
Appl. Math. Comput., 2006
Padé approximants and Adomian decomposition method for solving the Flierl-Petviashivili equation and its variants.
Appl. Math. Comput., 2006
Appl. Math. Comput., 2006
Appl. Math. Comput., 2006
Compactons and solitary wave solutions for the Boussinesq wave equation and its generalized form.
Appl. Math. Comput., 2006
Peakons, kinks, compactons and solitary patterns solutions for a family of Camassa-Holm equations by using new hyperbolic schemes.
Appl. Math. Comput., 2006
Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method.
Appl. Math. Comput., 2006
Travelling wave solutions for the MKdV-sine-Gordon and the MKdV-sinh-Gordon equations by using a variable separated ODE method.
Appl. Math. Comput., 2006
A comparison study between the modified decomposition method and the traditional methods for solving nonlinear integral equations.
Appl. Math. Comput., 2006
Solitary wave solutions and periodic solutions for higher-order nonlinear evolution equations.
Appl. Math. Comput., 2006
The variable separated ODE and the tanh methods for solving the combined and the double combined sinh-cosh-Gordon equations.
Appl. Math. Comput., 2006
The modified decomposition method and Padé approximants for a boundary layer equation in unbounded domain.
Appl. Math. Comput., 2006
Analytic study of the fifth order integrable nonlinear evolution equations by using the tanh method.
Appl. Math. Comput., 2006
Explicit travelling wave solutions of variants of the K(n, n) and the ZK(n, n) equations with compact and noncompact structures.
Appl. Math. Comput., 2006
Appl. Math. Comput., 2006
The sine-cosine and the tanh methods: Reliable tools for analytic treatment of nonlinear dispersive equations.
Appl. Math. Comput., 2006
2005
Generalized forms of the phi-four equation with compactons, solitons and periodic solutions.
Math. Comput. Simul., 2005
The modified decomposition method for analytic treatment of non-linear integral equations and systems of non-linear integral equations.
Int. J. Comput. Math., 2005
Int. J. Comput. Math., 2005
Int. J. Comput. Math., 2005
The tanh method for a reliable treatment of the K(n, n) and the KP(n, n) equations and its variants.
Appl. Math. Comput., 2005
Appl. Math. Comput., 2005
Appl. Math. Comput., 2005
Appl. Math. Comput., 2005
Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations.
Appl. Math. Comput., 2005
The tanh method for generalized forms of nonlinear heat conduction and Burgers-Fisher equations.
Appl. Math. Comput., 2005
Appl. Math. Comput., 2005
The tanh and the sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation.
Appl. Math. Comput., 2005
Generalized Boussinesq type of equations with compactons, solitons and periodic solutions.
Appl. Math. Comput., 2005
Appl. Math. Comput., 2005
Analytical solution for the time-dependent Emden-Fowler type of equations by Adomian decomposition method.
Appl. Math. Comput., 2005
New compact and noncompact solutions for two variants of a modified Camassa-Holm equation.
Appl. Math. Comput., 2005
Appl. Math. Comput., 2005
Nonlinear dispersive special type of the Zakharov-Kuznetsov equation ZK(n, n) with compact and noncompact structures.
Appl. Math. Comput., 2005
Compactons, solitons and periodic solutions for variants of the KdV and the KP equations.
Appl. Math. Comput., 2005
Appl. Math. Comput., 2005
A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions.
Appl. Math. Comput., 2005
2004
Math. Comput. Model., 2004
Special types of the nonlinear dispersive Zakharov-Kuznetsov equation with compactons, solitons, and periodic solutions.
Int. J. Comput. Math., 2004
Appl. Math. Comput., 2004
Appl. Math. Comput., 2004
Compact structures for variants of the generalized KdV and the generalized KP equations.
Appl. Math. Comput., 2004
An analytic study of compacton solutions for variants of Kuramoto-Sivashinsky equation.
Appl. Math. Comput., 2004
Appl. Math. Comput., 2004
A study on compacton-like solutions for the modified KdV and fifth order KdV-like equations.
Appl. Math. Comput., 2004
Appl. Math. Comput., 2004
Appl. Math. Comput., 2004
Two classes of variants of the generalized KdV equations with compact and noncompact solutions.
Appl. Math. Comput., 2004
Appl. Math. Comput., 2004
Compact and noncompact solutions for nonlinear dispersive variants of the generalized KdV equation.
Appl. Math. Comput., 2004
The sine-cosine method for obtaining solutions with compact and noncompact structures.
Appl. Math. Comput., 2004
Effect of nonlinearity of the middle term of nonlinear dispersive equations on physical structures.
Appl. Math. Comput., 2004
2003
Math. Comput. Simul., 2003
An analytic study of compactons structures in a class of nonlinear dispersive equations.
Math. Comput. Simul., 2003
A construction of compact and noncompact solutions for nonlinear dispersive equations of even order.
Appl. Math. Comput., 2003
A study on nonlinear dispersive partial differential equations of compact and noncompact solutions.
Appl. Math. Comput., 2003
Solutions of compact and noncompact structures for nonlinear Klein-Gordon-type equation.
Appl. Math. Comput., 2003
Compactons and solitary patterns structures for variants of the KdV and the KP equations.
Appl. Math. Comput., 2003
The effect of the order of nonlinear dispersive equation on the compact and noncompact solutions.
Appl. Math. Comput., 2003
The existence of noise terms for systems of inhomogeneous differential and integral equations.
Appl. Math. Comput., 2003
Compact and noncompact structures formed by nonlinear equations with positive and negative exponents.
Appl. Math. Comput., 2003
Several new exact solutions for a fast diffusion equation by the differential constraints of the linear determining equations.
Appl. Math. Comput., 2003
Appl. Math. Comput., 2003
Appl. Math. Comput., 2003
2002
General compactons solutions and solitary patterns solutions for modified nonlinear dispersive equations mK(n, n) in higher dimensional spaces.
Math. Comput. Simul., 2002
The Numerical Solution of Special Fourth-Order Boundary Value Problems by the Modified Decomposition Method.
Int. J. Comput. Math., 2002
Appl. Math. Comput., 2002
Appl. Math. Comput., 2002
Exact solutions for variable coefficients fourth-order parabolic partial differential equations in higher-dimensional spaces.
Appl. Math. Comput., 2002
A new method for solving singular initial value problems in the second-order ordinary differential equations.
Appl. Math. Comput., 2002
General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive K(n, n) equations in higher dimensional spaces.
Appl. Math. Comput., 2002
General compactons solutions for the focusing branch of the nonlinear dispersive K(n, n) equations in higher-dimensional spaces.
Appl. Math. Comput., 2002
Compact and noncompact structures for a variant of KdV equation in higher dimensions.
Appl. Math. Comput., 2002
Solitary patterns solutions having infinite slopes or cusps for fifth-order KdV like equations in higher dimensions.
Appl. Math. Comput., 2002
2001
A new modification of the Adomian decomposition method for linear and nonlinear operators.
Appl. Math. Comput., 2001
A reliable algorithm for solving boundary value problems for higher-order integro-differential equations.
Appl. Math. Comput., 2001
The numerical solution of sixth-order boundary value problems by the modified decomposition method.
Appl. Math. Comput., 2001
Appl. Math. Comput., 2001
The modified decomposition method applied to unsteady flow of gas through a porous medium.
Appl. Math. Comput., 2001
Analytic treatment for variable coefficient fourth-order parabolic partial differential equations.
Appl. Math. Comput., 2001
A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation.
Appl. Math. Comput., 2001
Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions.
Appl. Math. Comput., 2001
Exact solutions to nonlinear diffusion equations obtained by the decomposition method.
Appl. Math. Comput., 2001
2000
The numerical solution of special eighth-order boundary value porblems by the modified decomposition method.
Neural Parallel Sci. Comput., 2000
The decomposition method For solving higher dimensional Initial boundary value problems of variable coefficients.
Int. J. Comput. Math., 2000
Appl. Math. Comput., 2000
The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model.
Appl. Math. Comput., 2000
1999
A comparative study on a singular perturbation problem with two singular boundary points.
Appl. Math. Comput., 1999
The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation.
Appl. Math. Comput., 1999
Appl. Math. Comput., 1999
1998
A reliable technique for solving the wave equation in an infinite one-dimensional medium.
Appl. Math. Comput., 1998
A comparison between Adomian decomposition method and Taylor series method in the series solutions.
Appl. Math. Comput., 1998
1997
Equality of partial solutions in the decomposition method for partial differential equations.
Int. J. Comput. Math., 1997
1996
The decomposition method for solving a second kind fredholm integral equation with a logarithmic kernel.
Int. J. Comput. Math., 1996
1995
Int. J. Comput. Math., 1995