2025/06/09 by Xijun Deng, Deng, Xijun, Stéphane Lafortune +3
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Fractional Differential Equations Solutions #Nonlinear Photonic Systems
paper · pdf · doi:10.48550/arxiv.2506.07791
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 employing conserved quantities in terms of the momentum variable m, we show that the 2-soliton, when regarded as a solution to the initial-value problem for the modified Camassa-Holm equation, is nonlinearly stable to perturbations with respect to the momentum variable in the Sobolev space H2.