Qualitative analysis and exact traveling wave solutions for the Klein-Gordon equation with quintic nonlinearity

被引：3
|
作者：
Alzaleq, Lewa' [1 ]
Manoranjan, Valipuram [1 ]
机构：
[1] Washington State Univ, Dept Math & Stat, Pullman, WA 99164 USA
来源：
PHYSICA SCRIPTA | 2019年 / 94卷 / 08期
关键词：
Klein-Gordon equation; phase plane trajectories; Hamiltonian value; traveling wave solutions; BIFURCATION-ANALYSIS; SOLITONS;
D O I：
10.1088/1402-4896/ab156b
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We carry out a qualitative analysis in terms of phase plane trajectories in order to study the traveling wave solutions and their characteristics of the Klein-Gordon equation with quintic nonlinearity. Based on the differing phase trajectories in different regions, we obtain different types of real-valued and complex-valued traveling wave solutions such as kink/anti-kink wave solutions, bell/anti-bell wave solutions, periodic wave solutions, singular wave solutions, and periodic singular wave solutions.
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页数：13
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