BIFURCATIONS AND EXACT SOLUTIONS FOR THE KUNDU EQUATION: DYNAMICAL APPROACH

Meixiang Chen

doi:10.11948/20240012

2024 Volume 14 Issue 6

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Meixiang Chen. BIFURCATIONS AND EXACT SOLUTIONS FOR THE KUNDU EQUATION: DYNAMICAL APPROACH[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3377-3384. doi: 10.11948/20240012

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Meixiang Chen. BIFURCATIONS AND EXACT SOLUTIONS FOR THE KUNDU EQUATION: DYNAMICAL APPROACH[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3377-3384. doi: 10.11948/20240012

BIFURCATIONS AND EXACT SOLUTIONS FOR THE KUNDU EQUATION: DYNAMICAL APPROACH

Meixiang Chen^1, ,

1.
School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, China

Corresponding author: Email: mxchen@hqu.edu.cn(M. Chen)

Abstract

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).
- Solitary wave /
- periodic wave /
- kink wave /
- bifurcation /
- dynamical system /
- Kundu equation
MSC: 37L20, 34C37, 35C05, 37G10

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References

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