In this paper, we develop, analyze and numerically test an invariant-preserving three-level
linearized implicit difference scheme for a rotation-two-component Camassa--Holm system …

The Fourier pseudo-spectral method is well suited to solve PDEs under the periodic
boundary condition due to its high-order accuracy and easy-to-implement feature. In this …

This paper derives a semi-discrete conservative difference scheme for the rotation-two-
component Camassa–Holm system based on its Hamiltonian invariants. Mass, momentum …

A rotation-two-component Camassa–Holm (R2CH) system was proposed recently to
describe the motion of shallow water waves under the influence of gravity. This is a highly …

In this paper we study the blow-up phenomenon of the initial boundary value problem for the
periodic rotation-two-component Camassa–Holm (R2CH) system. The results include a …

In this paper, we consider a generalized rotation b‐family system (R‐b‐family system) which
models the evolution of equatorial water waves. Based on local well‐posedness results and …

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 …

Studied in this paper is the rotation-two-component Camassa-Holm system, which can be
considered as a model for the propagation of long-crested shallow-water waves in the …

In this paper, we investigate a generalized two-component rotational b-family system arising
in the rotating fluid with the effect of the Coriolis force. First, we study the persistence …

In this paper, we study blow-up phenomena for the rotation-two-component Camassa–Holm
(R2CH) system, a model of equatorial water waves that includes the effect of the Coriolis …