BIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS FOR A NEW INTEGRABLE NONLOCAL EQUATION

Jibin Li; Yi Zhang; Jianli Liang

doi:10.11948/20200319

2021 Volume 11 Issue 3

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Jibin Li, Yi Zhang, Jianli Liang. BIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS FOR A NEW INTEGRABLE NONLOCAL EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(3): 1588-1599. doi: 10.11948/20200319

Citation:

Jibin Li, Yi Zhang, Jianli Liang. BIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS FOR A NEW INTEGRABLE NONLOCAL EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(3): 1588-1599. doi: 10.11948/20200319

BIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS FOR A NEW INTEGRABLE NONLOCAL EQUATION

1.
Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
2.
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China

Corresponding author: Email address: zhangyi@zjnu.cn(Y. Zhang)
Fund Project: This research was partially supported by the National Natural Science Foundation of China (11871231, 11371326, 11975145, 11901215)

Abstract

Abstract

By using the method of dynamical systems, we consider the dynamical behavior of travelling wave solutions for a new integrable nonlocal equation. All possible exact explicit travelling wave solutions under different parameter conditions are given, including solitary wave solutions, periodic wave solutions and pseudo-peakon wave solutions.
- Bifurcation /
- exact travelling wave solution /
- solitary wave solution /
- periodic wave solution /
- pseudo-peakon /
- integrable nonlocal equation
MSC: 34C37, 34C23, 74J30

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References

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