Stability of disturbance decomposition near traveling wave solutions for the second-order Camassa-Holm equation

Di Wen

Abstract: Based on the pseudo-conformal transformation, this paper discusses the stability of the perturbation decomposition near the traveling wave solutions of the second-order Camassa-Holm equation. Through the characterization of the parameter properties in the modulation equation, the solution near the solitons is qualitatively studied, and the decomposition is given on the geometric parameters And the stability results of disturbances, establish a feasible theoretical basis for research on dynamics.