New extended generalized Kudryashov method for solving three nonlinear partial differential equations
Articles
Elsayed M.E. Zayed
Zagazig University
https://orcid.org/0000-0002-6755-0088
Reham M.A. Shohib
Zagazig University,
Mohamed E.M. Alngar
Zagazig University
Published 2020-07-01
https://doi.org/10.15388/namc.2020.25.17203
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Keywords

solitary solutions
a new extended generalized Kudryashov method
the improved perturbed nonlinear Schrödinger equation with anti-cubic nonlinearity
Davey–Sterwatson (DS) equation
the modified Zakharov–Kuznetsov (mZK) equation of ion-acoustic waves in a magnetized plasma

How to Cite

ZayedE. M., ShohibR. M. and AlngarM. E. (2020) “New extended generalized Kudryashov method for solving three nonlinear partial differential equations”, Nonlinear Analysis: Modelling and Control, 25(4), pp. 598–617. doi: 10.15388/namc.2020.25.17203.

Abstract

New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger equation with anti-cubic nonlinearity, the (2+1)-dimensional Davey–Sterwatson (DS) equation and the (3+1)-dimensional modified Zakharov–Kuznetsov (mZK) equation of ion-acoustic waves in a magnetized plasma have been presented. Comparing our new results with the well-known results are given. Our results in this article emphasize that the used method gives a vast applicability for handling other nonlinear partial differential equations in mathematical physics.

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