Travelling wave solutions of generalized Klein-Gordon equations using Jacobi elliptic functions

被引：25

作者：

Ates, Esma ^{[1
]}

Inc, Mustafa ^{[2
]}

机构：

[1] Karadeniz Tech Univ, Dept Elect & Commun Engn, Fac Technol, TR-61080 Trabzon, Turkey

[2] Firat Univ, Dept Math, Sci Fac, TR-23119 Elazig, Turkey

来源：

NONLINEAR DYNAMICS | 2017年 / 88卷 / 03期

关键词：

Klein-Gordon equation; Jacobi elliptic functions; Solitons; Travelling wave solutions; SOLITON PERTURBATION-THEORY; SPATIOTEMPORAL DISPERSION; OPTICAL SOLITONS; PERIODIC-SOLUTIONS; NONLINEARITY; MEDIA; DARK;

D O I：

10.1007/s11071-017-3376-6

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper obtains exact travelling wave solutions of five various forms of the generalized nonlinear Klein-Gordon equations using Jacobi elliptic functions. Topological and non-topological soliton solutions are obtained as well as Jacobi elliptic function solutions. It is acquired constraint conditions for the existence of solitons.

引用

页码：2281 / 2290

页数：10

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