4 papers · 1 filter
Orbital Stability of Smooth Traveling Solitary Waves to the Fornberg-Whitham Equation
Xijun Deng, Stephane Lafortune, Zhisu Liu
The Fornberg-Whitham (FW) equation was introduced by Fornberg and Whitham [Fornberg and Whitham, Phil. Trans. R. Soc. Lond. A (1978)] as a nonlocal model for unidirectional shallow…
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…
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…
Spectral instability of peakons for the -family of Novikov equations
Xijun Deng, Stéphane Lafortune
In this paper, we are concerned with a one-parameter family of peakon equations with cubic nonlinearity parametrized by a parameter usually denoted by the letter . This family i…