LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF BIFURCATION OF PERIODIC TRAVELLING WAVE SOLUTIONS OF A PERTURBED (1+1)-DIMENSIONAL DISPERSIVE LONG WAVE EQUATION

被引：0
|
作者：
Hussain, Mudhir A. Abdul [1 ]
机构：
[1] Univ Basrah, Coll Educ Pure Sci, Dept Math, Basrah, Iraq
来源：
MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING | 2024年 / 5卷 / 01期
关键词：
Local bifurcation theory; local Lyapunov-Schmidt method; nonlinear dispersive long wave equation;
D O I：
10.5206/mase/16957
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
. In this paper, the Lyapunov-Schmidt reduction is used to investigate the bifurcation of periodic travelling wave solutions of a perturbed (1+1)-dimensional dispersive long wave equation. We demonstrate that the bifurcation equation corresponding to the original problem is supplied by a nonlinear system of two cubic algebraic equations. As the bifurcation parameters change, this system has only one, three, or five regular real solutions. The linear approximation of the solutions to the main problem has been discovered.
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页码：77 / 84
页数：8
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