Display Abstract
Title Bounded traveling wave solutions and peakon-antipeakon interaction for the generalized two-component Hunter-Saxton equation
Name Liqin Yu
Country Peoples Rep of China
Email yulq@ujs.edu.cn
Co-Author(s) Honglin Yang
Submit Time 2014-02-27 19:14:00
Session
Special Session 92: Analysis and computation of nonlinear systems of the mixed type
Contents
In this paper, the bifurcation method of planar dynamic systems is used to investigate bounded traveling wave solutions for the generalized two--component Hunter--Saxton equation, and then the peakon--antipeakon interaction in this equation is discussed. Employing the phase portrait bifurcation of traveling wave system, bounded traveling wave solutions are obtained under different parameter conditions. Moreover, the wave dynamics for multiply peaked solitons and the peakon--antipeakon interaction are analyzed.
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