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[HTML][HTML] A new technique for solving Burgers-Kadomtsev-Petviashvili equation with an external source. Suppression of wave breaking and shock wave
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 …
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 …
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
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 …
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
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 …
(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 …
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
This article utilizes the Lie symmetry method to analyze the (n+ 1)-dimensional modified
Zakharov–Kuznetsov (mZK) equation, which characterizes weakly nonlinear traveling waves …
Zakharov–Kuznetsov (mZK) equation, which characterizes weakly nonlinear traveling waves …
Auto-Bäcklund transformations and solitary wave solutions for the nonlinear evolution equation
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 …
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 …
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 …
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 …
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 …
Vries equation and the (3+ 1)-dimensional cylindrical Korteweg-de Vries equation with …