Peakons (peaked solitons) are particular solutions admitted by certain nonlinear PDEs, most
famously the Camassa–Holm shallow water wave equation. These solutions take the form of …

A 4-parameter polynomial family of equations generalizing the Camassa-Holm and Novikov
equations that describe breaking waves is introduced. A classification of low-order …

A general family of peakon equations is introduced, involving two arbitrary functions of the
wave amplitude and the wave gradient. This family contains all of the known breaking wave …

Nonlinear generalizations of integrable equations in one dimension, such as the Korteweg–
de Vries and Boussinesq equations with p-power nonlinearities, arise in many physical …

In this paper, a Lie symmetry method is used for the nonlinear generalized Camassa–Holm
equation and as a result reduction of the order and computing the conservation laws are …

In this paper, we focus on the large time behavior of compact support of the potential for a
Camassa–Holm-type equation with nonlinearities of degree k+ 1 k+ 1 if the compactly …

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 …

All nonlinear dispersive wave equations in the general class $ m_t+ f (u, u_x) m+(g (u, u_x)
m) _x= 0$ are known to possess multi-peakon weak solutions. A classification is presented …

AG-strand is an evolutionary map g (t, s): R× R→ G into a Lie group G that follows from the
Hamilton's principle for a certain class of G-invariant Lagrangians defined on the Lie algebra …

In this paper, we first establish the local well-posednesss for the Cauchy problem of a
generalized Camassa–Holm (gCH) equation in Besov spaces B p, 1 1+ 1 p with 1≤ p<+∞ …