PEAKON AND PSEUDO-PEAKON IN A GENERALIZED CAMASSA-HOLM TYPE EQUATION

Rong Wu; Yan Zhou

doi:10.11948/20210012

2021 Volume 11 Issue 5

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Rong Wu, Yan Zhou. PEAKON AND PSEUDO-PEAKON IN A GENERALIZED CAMASSA-HOLM TYPE EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(5): 2553-2560. doi: 10.11948/20210012

Citation:

Rong Wu, Yan Zhou. PEAKON AND PSEUDO-PEAKON IN A GENERALIZED CAMASSA-HOLM TYPE EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(5): 2553-2560. doi: 10.11948/20210012

PEAKON AND PSEUDO-PEAKON IN A GENERALIZED CAMASSA-HOLM TYPE EQUATION

Rong Wu¹,
Yan Zhou^1, ,

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

Corresponding author: Email address: zy4233@hqu.edu.cn(Y. Zhou)
Fund Project: This research was partially supported by the National Natural Science Foundation of China (11871231, 12071162, 11701191)

Abstract

Abstract

This paper studies traveling wave solutions of a nonlinear generalization of the Camassa-Holm equation introduced by Anco et al. in 2015 and 2019. Under given parameter conditions, the corresponding traveling system is a singular system of the first class defined in [8]. The bifurcations of traveling wave solutions in the parameter space are investigated from the perspective of dynamical systems. The existence of solitary wave solution, periodic peakon solutions and peakon, pseudo-peakon are proved. Possible exact explicit parametric representations of various solutions are given.
- Solitary wave /
- peakon /
- pseudo-peakon /
- periodic peakon /
- bifurcation /
- Camassa-Holm type equation
MSC: 34C37, 34C23, 74J30, 58Z05

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References

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