| Volume 14, Number 6, 2024, Pages - DOI：10.11948/JAAC-2024-0012 |
| Bifurcations and Exact Solutions for the Kundu Equation: Dynamical Approach |
| Meixiang Chen |
| Keywords:Solitary wave, periodic wave, kink wave, bifurcation, dynamical system, Kundu equation |
| Abstract: |
| In this paper, we focus on the exact traveling wave solutions for the Kundu equation. By using the method of dynamical systems, we obtain bifurcations of the phase portraits of the corresponding planar dynamical system under different parameter conditions. Corresponding to different level curves, we derive all possible exact explicit parametric representations of the bounded solutions (including smooth periodic wave solutions, solitary solutions, kink wave solutions). |
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