Considered herein is the dynamical stability of the single peaked soliton and periodic
peaked soliton for an integrable modified Camassa-Holm equation with cubic nonlinearity …

In this paper we study the orbital stability of the peaked solitons to the Novikov equation,
which is an integrable Camassa–Holm type equation with cubic nonlinearity. We show that …

This paper is concerned with two classes of cubic quasilinear equations, which can be
derived as asymptotic models from shallow-water approximation to the 2D incompressible …

Considered herein is a modified periodic Camassa–Holm equation with cubic nonlinearity
which is called the modified μ-Camassa–Holm equation. The proposed equation is shown to …

In this paper, we study the orbital stability of peakons and periodic peakons for a nonlinear
quartic Camassa-Holm equation. We first verify that the QCHE has global peakon and …

Considered here is a generalized μ-type integrable equation, which can be regarded as a
generalization to both the μ-Camassa–Holm and modified μ-Camassa–Holm equations. It is …

Considered herein is the dynamical stability of periodic peaked solitons for the modified μ-
Camassa–Holm equation with the cubic nonlinearity. The equation is a μ-version of the …

In this paper, we study the orbital stability of the periodic peaked solitons of the generalized
μ-Camassa–Holm equation with nonlocal cubic and quadratic nonlinearities. The equation …

This paper proposes a higher-order μ-Camassa–Holm equation, which is regarded as a
higher-order extension of the μ-Camassa–Holm equation, and preserves some properties of …

We investigate the orbital stability of the peakons for a generalized Camassa-Holm equation
(gCH). Using variable transformation, a planar dynamical system is obtained from the gCH …