NEW EXPLICIT AND TRAVELLING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION EQUATIONS

YAN ZHEN-YA; ZHANG HONG-QING; FAN EN-GUI

doi:10.7498/aps.48.1

Abstract
In this paper, with the help of Mathematica, three travelling wave solutions for a class of nonlinear evolution equations utt+auxx+bu+cu3=0 are obtained by trigonometric function method and Wu-eliminition method which include new trarelling wave solutions, bell soliton solutions and kink soliton solutions. Some equations such as Duffing equation, Klein-Gordon equation, Landau-Ginburg-Higgs equation and 4 equation are particular cases of the evolution equations. The method also can be applied to other nonlinear equations.
Authors and contacts
YAN ZHEN-YA,

ZHANG HONG-QING,

FAN EN-GUI

1.
大连理工大学数学科学研究所，大连 116024
References

Cited By

[1]	Shi Lan-Fang, Zhu Min, Zhou Xian-Chun, Wang Wei-Gang, Mo Jia-Qi. The solitary traveling wave solution for a class of nonlinear evolution equations. Acta Physica Sinica, 2014, 63(13): 130201. doi: 10.7498/aps.63.130201
[2]	Shang Ya-Dong, Huang Yong. Explicit and exact traveling wave solutions to the nonlinear LC circuit equation. Acta Physica Sinica, 2013, 62(7): 070203. doi: 10.7498/aps.62.070203
[3]	Su Jun, Xu Wei, Duan Dong-Hai, Xu Gen-Jiu. New explicit exact solution of one type of the sine-Gordon equation with self-consistent source. Acta Physica Sinica, 2011, 60(11): 110203. doi: 10.7498/aps.60.110203
[4]	Mo Jia-Qi, Chen Xian-Feng. Approximate solution of solitary wave for a class of generalized nonlinear disturbed dispersive equation. Acta Physica Sinica, 2010, 59(3): 1403-1408. doi: 10.7498/aps.59.1403
[5]	Bi Qin-Sheng, Jiang Bo, Han Xiu-Jing. Implicit solitary wave solutions for a class of nonlinear dispersive Boussinesq equation. Acta Physica Sinica, 2010, 59(12): 8343-8347. doi: 10.7498/aps.59.8343
[6]	Shi Lan-Fang, Mo Jia-Qi. Soliton-like homotopic approximate analytic solution for a class of disturbed nonlinear evolution equation. Acta Physica Sinica, 2009, 58(12): 8123-8126. doi: 10.7498/aps.58.8123
[7]	Wu Hai-Yan, Zhang Liang, Tan Yan-Ke, Zhou Xiao-Tao. Some new exact Jacobian elliptic function solutions of three kinds of nonlinear evolution equations. Acta Physica Sinica, 2008, 57(6): 3312-3318. doi: 10.7498/aps.57.3312
[8]	Zheng Lian-Cun, Feng Zhi-Feng, Zhang Xin-Xin. Approximate analytical solutions for a class of nonlinear differential equations. Acta Physica Sinica, 2007, 56(3): 1549-1554. doi: 10.7498/aps.56.1549
[9]	Gao Liang, Xu Wei, Tang Ya-Ning, Shen Jian-Wei. New explicit exact solutions of one type of generalized Boussinesq equations and the Boussinesq-Burgers equation. Acta Physica Sinica, 2007, 56(4): 1860-1869. doi: 10.7498/aps.56.1860
[10]	Wu Qin-Kuan. The shock solution for a class of the nonlinear equations by the Sinc-Galerkin method. Acta Physica Sinica, 2006, 55(4): 1561-1564. doi: 10.7498/aps.55.1561
[11]	Li De-Sheng, Zhang Hong-Qing. A simple method for solving a class of nonlinearly coupled evolution equations in higher dimensional space. Acta Physica Sinica, 2004, 53(6): 1635-1638. doi: 10.7498/aps.53.1635
[12]	Yin Jiu-Li, Tian Li-Xin. Compacton solutions and floating compacton solutions of one type of nonlinear equations. Acta Physica Sinica, 2004, 53(9): 2821-2827. doi: 10.7498/aps.53.2821
[13]	Zhao Chang-Hai, Sheng Zheng-Mao. Explicit travelling wave solutions for Zakharov equations. Acta Physica Sinica, 2004, 53(6): 1629-1634. doi: 10.7498/aps.53.1629
[14]	Fu Zun-Tao, Liu Shi-Kuo, Liu Shi-Da. New multi-order exact solutions to a kind of nonlinear evolution equations. Acta Physica Sinica, 2003, 52(12): 2949-2953. doi: 10.7498/aps.52.2949
[15]	Liu Shi-Kuo, Fu Zun-Tao, Liu Shi-Da, Zhao Qiang. . Acta Physica Sinica, 2002, 51(1): 10-14. doi: 10.7498/aps.51.10
[16]	Wang Yong-Jiu, Tang Zhi-Ming. . Acta Physica Sinica, 2000, 49(4): 597-601. doi: 10.7498/aps.49.597
[17]	LIU CHUN-PING. THE SOLITON SOLUTIONS FOR A CLASS OF NONLINEAR COUPLED EQUATIONS. Acta Physica Sinica, 2000, 49(10): 1904-1908. doi: 10.7498/aps.49.1904
[18]	Zheng Yun, Zhang Hongqing. . Acta Physica Sinica, 2000, 49(3): 389-391. doi: 10.7498/aps.49.389
[19]	YAN ZHEN-YA, ZHANG HONG-QING. EXPLICIT EXACT SOLUTIONS FOR NONLINEAR APPROXIMATE EQUATIONS WITH LONG WAVES IN SHALLOW WATER. Acta Physica Sinica, 1999, 48(11): 1962-1968. doi: 10.7498/aps.48.1962
[20]	XU BING-ZHEN, LI YUE-KE, YAN XUN-LING. NEW SOLITARY WAVE SOLUTIONS FOR A CLASS OF FIFTH-ORDER NOLINEAR EVOLUTION EQUATIONS. Acta Physica Sinica, 1998, 47(12): 1946-1951. doi: 10.7498/aps.47.1946

Catalog

Vol. 48, Issue 1 - 1999-01-05

Metrics

Abstract views: 7048
PDF Downloads: 833
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

NEW EXPLICIT AND TRAVELLING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION EQUATIONS

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

NEW EXPLICIT AND TRAVELLING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION EQUATIONS

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About