[HTML][HTML] A new technique for solving Burgers-Kadomtsev-Petviashvili equation with an external source. Suppression of wave breaking and shock wave

HI Abdel-Gawad, M Tantawy… - Alexandria Engineering …, 2023 - Elsevier
It was found in the literature that traveling wave solutions of the Burgers-Kadomtsev-
Petviashivili equation exhibit wave breaking or shock wave formation in shallow water …

Towards a unified method for exact solutions of evolution equations. An application to reaction diffusion equations with finite memory transport

HI Abdel-Gawad - Journal of Statistical Physics, 2012 - Springer
We present a brief report on the different methods for finding exact solutions of nonlinear
evolution equations. Explicit exact traveling wave solutions are the most amenable besides …

[HTML][HTML] Study of solitary and kink waves, stability analysis, and fractional effect in magnetized plasma

A Bibi, M Shakeel, D Khan, S Hussain, D Chou - Results in Physics, 2023 - Elsevier
Abstract The (3+ 1)-dimensional fractional modified Zakharov Kuznetsov (mZK) equation is
one of the nonlinear models to indicate the impact of magnetic fields on weak ion-acoustic …

[HTML][HTML] Construction of traveling waves patterns of (1+ n)-dimensional modified Zakharov-Kuznetsov equation in plasma physics

A Jhangeer, M Munawar, MB Riaz, D Baleanu - Results in Physics, 2020 - Elsevier
In this research, we examine the modified model of (1+ n)-dimensional Zakharov-Kuznetsov
(ZK) equation, which will be used to analyze the nature of weakly nonlinear traveling waves …

[HTML][HTML] Periodic and solitary wave solutions for a generalized variable-coefficient Boiti–Leon–Pempinlli system

RM El-Shiekh - Computers & Mathematics with Applications, 2017 - Elsevier
In this paper, a generalized variable-coefficient Boiti–Leon–Pempinlli (BLP) system is
studied via the modified Clarkson and Kruskal (CK) direct reduction method connected with …

Symmetry analysis, conservation laws and exact soliton solutions for the -dimensional modified Zakharov–Kuznetsov equation in plasmas with magnetic fields

A Hussain, N Abbas, TF Ibrahim, FMO Birkea… - Optical and Quantum …, 2024 - Springer
This article utilizes the Lie symmetry method to analyze the (n+ 1)-dimensional modified
Zakharov–Kuznetsov (mZK) equation, which characterizes weakly nonlinear traveling waves …

Auto-Bäcklund transformations and solitary wave solutions for the nonlinear evolution equation

M Kaplan, MN Ozer - Optical and Quantum Electronics, 2018 - Springer
In the present work, according to the concept of extended homogeneous balance method
and with help of Maple, we get auto-Bäcklund transformations for a (2+ 1)-dimensional …

ANALYSIS OF -DIMENSIONAL GENERALIZED CAMASSA–HOLM KADOMTSEV–PETVIASHVILI EQUATION THROUGH LIE SYMMETRIES, NONLINEAR …

A Hussain, A Jhangeer, MK Zia, I Khan, AH Ganie… - Fractals, 2023 - World Scientific
In this paper, the nonlinear (1+ n)-dimensional generalized Camassa–Holm Kadomtsev–
Petviashvili (g-CH-KP) equation is examined using Lie theory. Lie point symmetries of the …

[HTML][HTML] Jacobi elliptic wave solutions for two variable coefficients cylindrical Korteweg–de Vries models arising in dusty plasmas by using direct reduction method

RM El-Shiekh - Computers & Mathematics with Applications, 2018 - Elsevier
In this paper, generalized models for both (2+ 1)-dimensional cylindrical modified Korteweg–
de Vries (cmKdV) equation with variable coefficients and (3+ 1)-dimensional variable …

Painlevé test, Bäcklund transformation and consistent Riccati expansion solvability for two generalised cylindrical Korteweg-de Vries equations with variable …

RM El-Shiekh - Zeitschrift für Naturforschung A, 2018 - degruyter.com
In this paper, the integrability of the (2+ 1)-dimensional cylindrical modified Korteweg-de
Vries equation and the (3+ 1)-dimensional cylindrical Korteweg-de Vries equation with …