Symmetry reductions and exact solutions of the (2+1)-dimensional Camassa-Holm Kadomtsev-Petviashvili equation

被引：19

作者：

Wang Zhen-Li ^{[1
]}

Liu Xi-Qiang ^{[1
]}

机构：

[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Shandong, Peoples R China

来源：

PRAMANA-JOURNAL OF PHYSICS | 2015年 / 85卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Lie group method; g-CH-KP equation; symmetry reduction; conservation laws; exact solutions; PERIODIC-SOLUTIONS; CONSERVATION-LAWS; TANH METHOD;

D O I：

10.1007/s12043-014-0886-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the classical Lie group method is employed to obtain exact travelling wave solutions of the generalized Camassa-Holm Kadomtsev-Petviashvili (g-CH-KP) equation. We give the conservation laws of the g-CH-KP equation. Using the symmetries, we find six classical similarity reductions of g-CH-KP equation. Many kinds of exact solutions of the g-CH-KP equation are derived by solving the reduced equations.

引用

页码：3 / 16

页数：14

共 23 条

[1]

Ablowitz M J, 1981, PHILADELPHIA SIAM, V4

[2] A generalized variable-coefficient algebraic method exactly solving (3+1)-dimensional Kadomtsev-Petviashvilli equation [J].

Bai, CL ;

Bai, CJ ;

Hong, Z .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 44 (05) :821-826

[3] 1-Soliton solution of the generalized Camassa-Holm Kadomtsev-Petviashvili equation [J].

Biswas, Anjan .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (06) :2524-2527

[4] Numerical study of nonlinear Schrodinger and coupled Schrodinger equations by differential transformation method [J].

Borhanifar, A. ;

Abazari, Reza .

OPTICS COMMUNICATIONS, 2010, 283 (10) :2026-2031

[5]

Borhanifar A., 2011, WORLD APPL SCI J, V13, P2405

[6] Variational iteration method - Some recent results and new interpretations [J].

He, Ji-Huan .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :3-17

[7] Exp-function method for nonlinear wave equations [J].

He, Ji-Huan ;

Wu, Xu-Hong .

CHAOS SOLITONS & FRACTALS, 2006, 30 (03) :700-708

[8]

Hosseini MM., 2010, STUDIES NONLIN SCI, V1, P50

[9] KADOMSTEV-PETVIASHVILE AND 2-DIMENSIONAL SINE-GORDON EQUATIONS - REDUCTION TO PAINLEVE TRANSCENDENTS [J].

KALIAPPAN, P ;

LAKSHMANAN, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1979, 12 (10) :L249-L252

[10] The tanh method: A tool for solving certain classes of non-linear PDEs [J].

Malfliet, W .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2005, 28 (17) :2031-2035

← 1 2 3 →