2 papers
math.AP2025
Stability of 2-soliton solutions for the modified Camassa-Holm equation with cubic nonlinearity
Xijun Deng, Stéphane Lafortune, Zhisu Liu
In this paper, we are concerned with the stability of 2-soliton solutions on a nonzero constant background for the modified Camassa-Holm equation with cubic nonlinearity. By employ…
math.AP2024
Orbital stability of smooth solitary waves for the modified Camassa-Holm equation
Xijun Deng, Stéphane Lafortune, Zhisu Liu
In this paper, we explore the orbital stability of smooth solitary wave solutions to the modified Camassa-Holm equation with cubic nonlinearity. These solutions, which exist on a n…