Dynamics of the modified rotation-Camassa-Holm equation with backward diffusion term
DOI10.1007/S40314-024-02985-ZMaRDI QIDQ6653926
Xiaojie Lin, Min Cai, Zengji Du
Publication date: 17 December 2024
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
homoclinic orbitinvariant manifoldsolitary wave solutiongeometric singular perturbationrotation-Camassa-Holm equationbackward diffusion
KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations of ordinary differential equations (34D15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Cites Work
- Asymptotics of step-like solutions for the Camassa-Holm equation
- Blow-up solutions and peakons to a generalized {\(\mu\)}-Camassa-Holm integrable equation
- Two-component integrable systems modelling shallow water waves: the constant vorticity case
- Geometric singular perturbation theory for ordinary differential equations
- Wave breaking for nonlinear nonlocal shallow water equations
- On a shallow-water approximation to the Green-Naghdi equations with the Coriolis effect
- The existence of solitary wave solutions of delayed Camassa-Holm equation via a geometric approach
- Existence and uniqueness of the global conservative weak solutions to the rotation-Camassa-Holm equation
- Continuity and minimization of spectrum related with the periodic Camassa-Holm equation
- Steady periodic waves and formal stability for fixed-depth rotational equatorial flows
- Asymptotic bifurcation results for coupled nonlinear wave equations with variable coefficients
- Orbital stability of the train of peakons for an integrable modified Camassa-Holm equation
- A nonlocal shallow-water model arising from the full water waves with the Coriolis effect
- On the rotation-two-component Camassa-Holm system modelling the equatorial water waves
- Breaking Waves And Solitary Waves To The Rotation-Two-Component Camassa--Holm System
This page was built for publication: Dynamics of the modified rotation-Camassa-Holm equation with backward diffusion term
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6653926)
