In this paper, we are concerned with the Cauchy problem for a new two-component
Camassa-Holm system with the effect of the Coriolis force in the rotating uid, which is a …

Journal of Nonlinear Mathematical Physics On the well-posedness of the Holm-Staley b-family
of equations Page 1 Journal of Nonlinear Mathematical Physics ISSN (Online): 1776-0852 …

In this paper, we study the Cauchy problem for a two-component higher order Camassa–
Holm systems with fractional inertia operator A=(1−∂ x 2) r, r≥ 1, which was proposed by …

This paper focuses on the Cauchy problem of the rotation-two-component Camassa-Holm
(R2CH) system, which is a model of equatorial water waves that includes the effect of the …

This paper deals with the Cauchy problem of the high-order two-component b-family system.
Based on the local well-posedness results and prior estimates, two sequences of solutions …

In this paper, we mainly consider the Gevrey regularity and analyticity of the solution to a
generalized two-component shallow water wave system with higher-order inertia operators …

This work studies the Cauchy problem of a two-component higher order Camassa–Holm
system, which is well-posed in Sobolev spaces H s (R)× H s− 2 (R), s> 7 2 and its solution …

We investigate the uniqueness of global-in-time conservative weak solutions for the
generalized two-component higher-order shallow water system on R. The proof strategy …

In this paper, we focus on the well‐posedness, blow‐up phenomena, and continuity of the
data‐to‐solution map of the Cauchy problem for a two‐component higher order Camassa …

On the Cauchy problem for a generalized two-component shallow water wave system with
fractional higher-order inertia operators AIMS share this content in Facebook share this …