A simple method for solving a class of nonlinearly coupled evolution equations in higher dimensional space

Li De-Sheng; Zhang Hong-Qing

doi:10.7498/aps.53.1635

Abstract
In this paper,a class of nonlingearly coupled evolution equations in higher dimensional spaces is reduced to a simple nonlinear evolution equation in lower dimensional spaces by using a simple transformation,and then we can easily obtain the solutions of the original equations by appling existing method to the simple nonlinear evolution equation.

Keywords:
nonlinear coupled evolution equations /

exact solutions /

tanhfunction method
Authors and contacts
Li De-Sheng,

Zhang Hong-Qing

1.
大连理工大学应用数学系，大连 116024;沈阳工业大学理学院，沈阳 110023
References

Cited By

[1]	Zhang Li-Xiang, Liu Han-Ze, Xin Xiang-Peng. Symmetry reductions, exact equations and the conservation laws of the generalized (3+1) dimensional Zakharov-Kuznetsov equation. Acta Physica Sinica, 2017, 66(8): 080201. doi: 10.7498/aps.66.080201
[2]	Li Kai-Hui, Liu Han-Ze, Xin Xiang-Peng. Lie symmetry analysis, optimal system, exact solutions and conservation laws of a class of high-order nonlinear wave equations. Acta Physica Sinica, 2016, 65(14): 140201. doi: 10.7498/aps.65.140201
[3]	Liu Yong, Liu Xi-Qiang. Exact solutions of Whitham-Broer-Kaup equations with variable coefficients. Acta Physica Sinica, 2014, 63(20): 200203. doi: 10.7498/aps.63.200203
[4]	Wang Zhen-Li, Liu Xi-Qiang. Nonlocal symmetry and explicit solutions of the Kaup-Kupershmidt equation. Acta Physica Sinica, 2014, 63(18): 180205. doi: 10.7498/aps.63.180205
[5]	Yin Jun-Yi. Extended expansion method for (G/G) and new exact solutions of Zakharov equations. Acta Physica Sinica, 2013, 62(20): 200202. doi: 10.7498/aps.62.200202
[6]	Wan Hui. Exact solutions to the nonlinear diffusion-convection equation with variable coefficients and source term. Acta Physica Sinica, 2013, 62(9): 090203. doi: 10.7498/aps.62.090203
[7]	Li Ning, Liu Xi-Qiang. Symmetries, reductions and exact solutions of Broer-Kau-Kupershmidt system. Acta Physica Sinica, 2013, 62(16): 160203. doi: 10.7498/aps.62.160203
[8]	Yang Zheng, Ma Song-Hua, Fang Jian-Ping. Exact solutions and soliton structures of (2+1)-dimensionalZakharov-Kuznetsov equation. Acta Physica Sinica, 2011, 60(4): 040508. doi: 10.7498/aps.60.040508
[9]	Lei Jun, Ma Song-Hua, Fang Jian-Ping. Exact solutions and localized excitations of (3+1) -dimensional Jimbo-Miwa equation. Acta Physica Sinica, 2011, 60(12): 120507. doi: 10.7498/aps.60.120507
[10]	Taogetusang, Sirendaoerji. A method for constructing exact solutions of nonlinear evolution equation with variable coefficients. Acta Physica Sinica, 2009, 58(4): 2121-2126. doi: 10.7498/aps.58.2121
[11]	Taogetusang, Sirendaoerji. The auxiliary equation for constructing the exact solutions of the variable coefficient combined KdV equation with forcible term. Acta Physica Sinica, 2008, 57(3): 1295-1300. doi: 10.7498/aps.57.1295
[12]	Mao Jie-Jian, Yang Jian-Rong. New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV equation. Acta Physica Sinica, 2007, 56(9): 5049-5053. doi: 10.7498/aps.56.5049
[13]	Wu Guo-Jiang, Zhang Miao, Shi Liang-Ma, Zhang Wen-Liang, Han Jia-Hua. The extended expansion method for Jacobi elliptic function and new exact periodic solutions of Zakharov equations. Acta Physica Sinica, 2007, 56(9): 5054-5059. doi: 10.7498/aps.56.5054
[14]	Zeng Xin, Zhang Hong-Qing. Backlund transformation and exact solutions for (2+1)-dimensional Boussinesq eq uation. Acta Physica Sinica, 2005, 54(4): 1476-1480. doi: 10.7498/aps.54.1476
[15]	Zhi Hong-Yan, Wang Qi, Zhang Hong-Qing. A series of new exact solutions to the (2+1)-dimensional Broer-Kau-Kupershmidt equation. Acta Physica Sinica, 2005, 54(3): 1002-1008. doi: 10.7498/aps.54.1002
[16]	Han Zhao-Xiu. New exact solutions for nonlinear Klein-Gordon equations. Acta Physica Sinica, 2005, 54(4): 1481-1484. doi: 10.7498/aps.54.1481
[17]	Liu Cheng-Shi, Du Xing-Hua. New exact solutions of coupled Klein-Gordon-Schr?dinger equations. Acta Physica Sinica, 2005, 54(3): 1039-1043. doi: 10.7498/aps.54.1039
[18]	Huang Ding-Jiang, Zhang Hong-Qing. Extended hyperbolic function method and new exact solitary wave solutions of Zakharov equations. Acta Physica Sinica, 2004, 53(8): 2434-2438. doi: 10.7498/aps.53.2434
[19]	Li De-Sheng, Zhang Hong-Qing. The new doubly-periodic solutions for nonlinear coupled scalar field equations( Ⅰ). Acta Physica Sinica, 2003, 52(10): 2373-2378. doi: 10.7498/aps.52.2373
[20]	Shi Yu-ren, Lü Ke-Pu, Duan Wen-Shan, Hong Xue-Ren, Zhao Jin-Bao, Yang Hong-Juan. Explicit and exact solutions of the combined KdV equation. Acta Physica Sinica, 2003, 52(2): 267-270. doi: 10.7498/aps.52.267

Catalog

Vol. 53, Issue 6 - 2004-03-20

Metrics

Abstract views: 7722
PDF Downloads: 729
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

A simple method for solving a class of nonlinearly coupled evolution equations in higher dimensional space

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

A simple method for solving a class of nonlinearly coupled evolution equations in higher dimensional space

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About