Work

Soliton dynamics for the stochastic modified Camassa-Holm equation

Year: 2025

Type: article

Abstract: We study the soliton dynamics for the stochastic modified Camassa-Holm equation. We prove that if the initial condition of the solution is a solitary wave solution of the unperturbed equation, the solution decomposes into the sum of a randomly modulated solitary wave and a small remainder. Moreover, we derive the equations for the modulation parameters and show that the remainder converges to the solution of a stochastic linear equation as amplitude of the noise tends to zero.

Source: Electronic Journal of Probability

DOI: 10.1214/25-ejp1364

Authors: Yong Chen, Xinliang Liu

Institutions: Zhejiang Sci-Tech University, Zhejiang University of Science and Technology

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $675

Funder: National Natural Science Foundation of China