Solitary-wave solutions to a dual equation of the Kaup-Boussinesq system
Jiangbo Zhou, Lixin Tian, Xinghua Fan
TL;DR
This paper uses bifurcation theory to find smooth solitary-wave solutions to a dual Kaup-Boussinesq system equation, expanding understanding of wave phenomena in nonlinear systems.
Contribution
It introduces a bifurcation analysis approach to derive explicit solitary-wave solutions for a dual Kaup-Boussinesq system.
Findings
Derived explicit smooth solitary-wave solutions
Applied bifurcation theory to nonlinear wave equations
Enhanced analytical methods for wave solutions
Abstract
In this paper, we employ the bifurcation theory of planar dynamical systems to investigate the travelling-wave solutions to a dual equation of the Kaup-Boussinesq system. The expressions for smooth solitary-wave solutions are obtained.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Advanced Mathematical Physics Problems