In this paper, we are concerned with the finite time blow-up for the high-order Camassa-
Holm-Fokas-Olver-Rosenau-Qiao equations, which is a generalization of the Camassa …

This paper is concerned with the Cauchy problem for a two-component Camassa-Holm
system with high order nonlinearity, which is a multi-component extension of the Fokas …

In this paper, we study an integrable system with both quadratic and cubic nonlinearity: mt=
bu x+ 1 2 k 1 [m (u 2− ux 2)] x+ 1 2 k 2 (2 mu x+ mxu), m= u− uxx, where b, k 1 and k 2 are …

In this paper, we study the Cauchy problem of the generalized Fokas–Olver–Resenau–Qiao
equation. Firstly, by means of transport equation and Littlewood–Paley theory, we obtain the …

We investigate the Cauchy problem for a nonlocal (two-place) FORQ equation. By
interpreting this equation as a special case of a two-component peakon system (exhibiting a …

Considered in this paper is the new shallow-water model with cubic nonlinearity, which
admits the single peaked solitons and multi-peakon solutions, and includes both the …

The initial value problem for a novel 4-parameter family of evolution equations, which are
nonlinear and nonlocal and possess peakon traveling wave solutions, is studied on both the …

In this paper, we mainly investigate the Cauchy problem of the cubic Camassa-Holm-type
equations which arise as an asymptotic model with a nonlocal cubic nonlinearity for the …

Firstly, a formal correspondence is established between the Camassa–Holm (CH) equation
and a two-component modified CH (or called SQQ) equation according to the method of …

This paper is devoted to an integrable two-component Camassa–Holm system with cubic
nonlinearity, which includes the cubic Camassa–Holm equation (also called the Fokas …