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 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 …

In this paper, the methodologies of dynamical systems and singular traveling wave theory
developed by [Li & Chen, 2007] are applied to find the solutions in the form of u (x, t)= ϕ (x …

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 …

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 …

This paper studies traveling wave solutions of three modified Camassa-Holm equations
posed by Anco and Recio in 2019. The corresponding traveling system is a singular system …

This paper studies traveling wave solutions of the homogeneous Camassa-Holm type
equations introduced by Hay et al. in 2019. Under given parameter conditions, the …