TITLE:
Asymptotic Stability of Singular Solution for Camassa-Holm Equation
AUTHORS:
Yuetian Gao
KEYWORDS:
Asymptotic Stability, Camassa-Holm Equation, Explicit Solution, Semigroup Theory, Banach Contraction Mapping Principle
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.7,
July
15,
2021
ABSTRACT: The aim of this paper is to study singular dynamics of solutions of Camassa-Holm equation. Based on the semigroup theory of linear operators and Banach contraction mapping principle, we prove the asymptotic stability of the explicit singular solution of Camassa-Holm equation.