Compactons, solitons and periodic solutions for some forms of nonlinear Klein-Gordon equations

被引：112

作者：

Wazwaz, AM ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math & Comp Sci, Chicago, IL 60655 USA

来源：

CHAOS SOLITONS & FRACTALS | 2006年 / 28卷 / 04期

关键词：

D O I：

10.1016/j.chaos.2005.08.145

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The nonlinear Klein-Gordon equations with power law nonlinearities are studied. The tanh method is used for analytic treatment for these equations. The analysis leads to travelling wave solutions with compactons, solitons, solitary patterns and periodic structures. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1005 / 1013

页数：9

共 50 条

[41] New exact travelling wave solutions of nonlinear Klein-Gordon equations
Jang, Bongsoo
CHAOS SOLITONS & FRACTALS, 2009, 41 (02) : 646 - 654
[42] Global solutions for nonlinear Klein-Gordon equations in infinite homogeneous waveguides
Fang, Daoyuan
Zhong, Sijia
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 231 (01) : 212 - 234
[43] On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations
Komech, A
Vainberg, B
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1996, 134 (03) : 227 - 248
[44] Generalized and functional separable solutions to nonlinear delay Klein-Gordon equations
Polyanin, Andrei D.
Zhurov, Alexei I.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (08) : 2676 - 2689
[45] Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method
Iqbal, S.
Idrees, M.
Siddiqui, A. M.
Ansari, A. R.
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (10) : 2898 - 2909
[46] On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations
Arch Ration Mech Anal, 3 (227):
[47] Scattering of solutions for critical and subcritical nonlinear Klein-Gordon equations in Hs
Wang, BX
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 1999, 5 (04) : 753 - 763
[48] QUASI-PERIODIC SOLITON-SOLUTIONS TO NONLINEAR KLEIN-GORDON EQUATIONS ON R2
VUILLERMOT, PA
MATHEMATISCHE ZEITSCHRIFT, 1990, 203 (02) : 235 - 253
[49] Separation of variables and exact solutions of generalized nonlinear Klein-Gordon equations
Qu, CZ
He, WL
Dou, JH
PROGRESS OF THEORETICAL PHYSICS, 2001, 105 (03): : 379 - 398
[50] SCATTERING OPERATOR FOR NONLINEAR KLEIN-GORDON EQUATIONS
Hayashi, Nakao
Naumkin, Pavel I.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2009, 11 (05) : 771 - 781

← 1 2 3 4 5 →