Orbital stability of multi-peakons for a generalized Dullin–Gottwald–Holm equation-Reference-Cited by-同舟云学术

Orbital stability of multi-peakons for a generalized Dullin–Gottwald–Holm equation

Published:2024-08-01 Issue:8 Volume:65 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Wang Jiajing¹,Deng Tongjie²^ORCID,Zhang Kelei³^ORCID

Affiliation:

1. School of Mathematics and Computing Science, Guilin University of Electronic Technology 1 , Guilin 541004, People’s Republic of China

2. School of Mathematics and Physics, Center for Applied Mathematics of Guangxi, Guangxi Minzu University 2 , Nanning 530006, People’s Republic of China

3. Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, School of Mathematics and Computing Science, Guilin University of Electronic Technology 3 , Guilin 541004, People’s Republic of China

Abstract

In this paper, we consider a generalized Dullin–Gottwald–Holm equation. The equation admits single peakons and multi-peakons. Using energy argument and combining the method of the orbital stability of a single peakon with monotonicity of the local energy norm, we prove that the sum of N sufficiently decoupled peakons is orbitally stable in the energy space.

Publisher

AIP Publishing

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0164490/20106708/082702_1_5.0164490.pdf

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