New periodic wave solutions to generalized Klein-Gordon and Benjamin equations

被引：0

作者：

Wu Guo-Jiang ^{[1
]}

Han Jia-Hua ^{[1
]}

Zhang Wen-Liang ^{[1
]}

Zhang Miao ^{[1
]}

Wang Jun-Mao ^{[1
]}

机构：

[1] Anhui Univ, Sch Phys & Mat Sci, Hefei 230039, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2007年 / 48卷 / 05期

关键词：

auxiliary equation method; extended mapping method; nonlinear evolution equations; periodic wave solutions;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By making use of extended mapping method and auxiliary equation for finding new periodic wave solutions of nonlinear evolution equations in mathematical physics, we obtain some new periodic wave solutions for generalized Klein-Gordon equation and Benjamin equation, which cannot be found in previous work. This method also can be used to find new periodic wave solutions of other nonlinear evolution equations.

引用

页码：815 / 818

页数：4

共 50 条

[1] New Periodic Wave Solutions to Generalized Klein-Gordon and Benjamin Equations
WU Guo-Jiang HAN Jia-Hua ZHANG Wen-Liang ZHANG Miao WANG Jun-Mao School of Physics and Material Science
[J]. Communications in Theoretical Physics, 2007, 48 (11) : 815 - 818
[2] New periodic wave solutions for the shallow water equations and the generalized Klein-Gordon equation
Elgarayhi, A.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (05) : 877 - 888
[3] New travelling wave solutions to the Boussinesq and the Klein-Gordon equations
Wazwaz, Abdul-Majid
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (05) : 889 - 901
[4] New doubly periodic solutions for the coupled nonlinear Klein-Gordon equations
Liu, CP
[J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 43 (01) : 13 - 16
[5] New Doubly Periodic Solutions for the Coupled Nonlinear Klein-Gordon Equations
LIU Chun-Ping Institute of Mathematics
[J]. Communications in Theoretical Physics, 2005, 43 (01) : 13 - 16
[6] Small amplitude periodic solutions of Klein-Gordon equations
Lu, Nan
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2017, 34 (05): : 1255 - 1272
[7] Stability and instability of periodic standing wave solutions for some Klein-Gordon equations
Natali, Fabio M. Amorin
Ferreira, Ademir Pastor
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 347 (02) : 428 - 441
[8] New exact travelling wave solutions of nonlinear Klein-Gordon equations
Jang, Bongsoo
[J]. CHAOS SOLITONS & FRACTALS, 2009, 41 (02) : 646 - 654
[9] The periodic solutions for a class of coupled nonlinear Klein-Gordon equations
Liu, SK
Fu, ZT
Liu, SD
Wang, ZG
[J]. PHYSICS LETTERS A, 2004, 323 (5-6) : 415 - 420
[10] Solitary and periodic traveling wave solutions for a class of coupled nonlinear Klein-Gordon equations
Xu, Wei
Shen, Jianwei
[J]. CHAOS SOLITONS & FRACTALS, 2008, 37 (03) : 912 - 917

← 1 2 3 4 5 →