In the field of mathematical physics, there exist many physically interesting nonlinear
dispersive equations with peakon solutions, which are solitary waves with discontinuous first …

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 …

The bounded traveling wave solutions of a generalized Camassa-Holm-Novikov equation
with p= 2 and p= 3 are derived via the dynamical system approach. The singular wave …

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, by using the dynamic system method and the known conservation laws of the
gCH equation, and underlying features of the peakons, we study the peakon solutions and …

A wide class of nonlinear dispersive wave equations are shown to possess a novel type of
peakon solution in which the amplitude and speed of the peakon are time-dependent. These …

In this paper, we are concerned with the generalized FORQ/MCH equation, which includes
the celebrated Fokas–Olver–Rosenau–Qiao equation (or also called the modified Camassa …

In this paper, we investigate singularity formation for the high-order generalized Fokas–
Olver–Rosenau–Qiao equation which include the celebrated Fokas–Olver–Rosenau–Qiao …

For the generalized mCH equation, we construct a 2‐peakon solution on both the line and
the circle, and we can control the size of the initial data. The two peaks at different speeds …

The tri‐Hamiltonian splitting method applied to the Hirota hierarchy has yielded two U (1)‐
invariant nonlinear Partial Differential Equations (PDEs) that admit peakons (nonsmooth …