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 …

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 …

We study the orbital stability of smooth solitary wave solutions of the Novikov equation,
which is a Camassa–Holm-type equation with cubic nonlinearities. These solitary waves are …

We consider weak solutions of the Novikov equation that lie in the energy space H^ 1 H 1
with non-negative momentum densities. We prove that a special family of such weak …

In the present paper we apply the method of double asymptotic expansion to formally derive
a highly nonlinear shallow-water model propagating in the equatorial ocean regions with the …

The Novikov equation is a peakon equation with cubic nonlinearity, which, like the Camassa–
Holm and the Degasperis–Procesi, is completely integrable. In this paper, we study the …

We study the stability of smooth and peaked solitary waves to the modified Camassa-Holm
equation. This quasilinear equation with cubic nonlinearity is completely integrable and …

Abstract The modified Camassa-Holm equation with cubic nonlinearity is completely
integrable and is considered a model for the unidirectional propagation of shallow-water …

It is known from the previous works that the peakon solutions of the Novikov equation are
orbitally and asymptotically stable in $ H^ 1$. We prove, via the method of characteristics …