EXISTENCE OF KINK WAVES TO PERTURBED DISPERSIVE K(3, 1) EQUATION

Minzhi Wei; Zizun Li

doi:10.11948/20210293

2022 Volume 12 Issue 2

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Minzhi Wei, Zizun Li. EXISTENCE OF KINK WAVES TO PERTURBED DISPERSIVE K(3, 1) EQUATION[J]. Journal of Applied Analysis & Computation, 2022, 12(2): 712-719. doi: 10.11948/20210293

Citation:

Minzhi Wei, Zizun Li. EXISTENCE OF KINK WAVES TO PERTURBED DISPERSIVE K(3, 1) EQUATION[J]. Journal of Applied Analysis & Computation, 2022, 12(2): 712-719. doi: 10.11948/20210293

EXISTENCE OF KINK WAVES TO PERTURBED DISPERSIVE K(3, 1) EQUATION

Minzhi Wei¹,
Zizun Li^2, ,

1.
Deparment of Applied Mathematics, Guangxi University of Finance and Economics, No.100 Mingxiu West Road, 530003 Nanning, China
2.
School of Mathematics and Statistics, Nanning Normal University, Guangxi Key Lab of Human-machine Interaction and Intelligent Decision, No.175 Mingxiu East Road, 530001 Nanning, China

Corresponding author: Email: zizunli02@126.com (Z. Li)
Fund Project: The authors were supported by National Natural Science Foundation of China (12161060) and Guangxi College Enhancing Youths Capacity Project (2020KY16019, 2020KY09019)

Abstract

Abstract

This paper concerns on the existence problem of traveling wave solutions to perturbed dispersive K(3, 1) equation by using geometric singular perturbation technique. Based on the analogy between solitary wave solutions and heteroclinic orbits of the associated ordinary differential equations, kink and antikink waves persistent is concluded when the perturbed parameter is small sufficiently in perturbed nonlinear wave equation.
- Heteroclinic orbits /
- geometric singular perturbation theory /
- Melnikov function
MSC: 34C07, 34D10, 37G20

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References

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