Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation

被引：15

作者：

Adem, Khadijo Rashid ^{[1
]}

Khalique, Chaudry Masood ^{[1
]}

机构：

[1] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, ZA-2735 Mmabatho, South Africa

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

DIFFERENTIAL-EQUATIONS; COMPACT;

D O I：

10.1155/2013/791863

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the two-dimensional nonlinear Kadomtsov-Petviashivilli-Benjamin-Bona-Mahony (KP-BBM) equation. This equation is the Benjamin-Bona-Mahony equation formulated in the KP sense. We first obtain exact solutions of this equation using the Lie group analysis and the simplest equation method. The solutions obtained are solitary waves. In addition, the conservation laws for the KP-BBM equation are constructed by using the multiplier method.

引用

页数：5

共 50 条

[21] A (2+1)-dimensional breaking soliton equation: Solutions and conservation laws
Yildirim, Yakup
Yasar, Emrullah
CHAOS SOLITONS & FRACTALS, 2018, 107 : 146 - 155
[22] Invariant Solutions and Conservation Laws of the (2+1)-Dimensional Boussinesq Equation
Rui, Wenjuan
Zhao, Peiyi
Zhang, Yufeng
ABSTRACT AND APPLIED ANALYSIS, 2014,
[23] INVESTIGATION OF EXACT SOLUTIONS AND CONSERVATION LAWS FOR NONLINEAR FRACTIONAL (2+1)-DIMENSIONAL BURGERS SYSTEM OF EQUATIONS
Singla, Komal
REPORTS ON MATHEMATICAL PHYSICS, 2023, 92 (01) : 75 - 83
[24] Lie Symmetries and Dynamical Behavior of Soliton Solutions of KP-BBM Equation
Tanwar, Dig Vijay
Ray, Atul Kumar
Chauhan, Anand
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (01)
[25] Exact solutions, symmetry groups and conservation laws for some (2+1)-dimensional nonlinear physical models
Hassan, M. M.
Shehata, A. R.
Abdel-Daym, M. S.
OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (02)
[26] Conservation laws of the (2+1)-dimensional KP equation and Burgers equation with variable coefficients and cross terms
Zhang, Li-Hua
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (09) : 4865 - 4879
[27] Lie Symmetries and Dynamical Behavior of Soliton Solutions of KP-BBM Equation
Dig Vijay Tanwar
Atul Kumar Ray
Anand Chauhan
Qualitative Theory of Dynamical Systems, 2022, 21
[28] Symbolic computation of exact solutions for the (2+1)-dimensional generalized stochastic KP equation
Wu, Xiao-Fei
Hua, Guo-Sheng
Ma, Zheng-Yi
CHAOS SOLITONS & FRACTALS, 2007, 33 (05) : 1552 - 1557
[29] The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation
Li, Jianping
Xu, Can
Lu, Junliang
RESULTS IN PHYSICS, 2024, 58
[30] New Exact Solutions of the (2+1)-Dimensional Nonlinear Schrodinger Equation
Abdel-Rahman, Reda G.
CHINESE JOURNAL OF PHYSICS, 2008, 46 (05) : 495 - 510

← 1 2 3 4 5 →