Orbital stability of solitary waves and a Liouville-type property to the cubic Camassa-Holm-type equation
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Publication:2077795
DOI10.1016/j.physd.2021.133024zbMath1487.35057OpenAlexW3200924009MaRDI QIDQ2077795
Publication date: 22 February 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2021.133024
solitary wavesorbital stabilityLiouville-type propertycubic Camassa-Holm-type equationphase portrait method
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Soliton solutions (35C08)
Related Items
Stability of periodic peaked solitary waves for a cubic Camassa-Holm-type equation, On the Cauchy problem for a class of cubic quasilinear shallow-water equations, Local well-posedness and decay for some generalized shallow water equations, Existence and uniqueness of the global conservative weak solutions for a cubic Camassa-Holm type equation
Cites Work
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- Carleman type estimates in an anisotropic case and applications
- Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- On a class of physically important integrable equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- On integrable systems with higher order corrections
- Unique continuation for some evolution equations
- Stability theory of solitary waves in the presence of symmetry. I
- Acoustic scattering and the extended Korteweg-de Vries hierarchy
- Wave breaking for nonlinear nonlocal shallow water equations
- On the stability of solitary-wave solutions of model equations for long waves
- The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
- Stability of the Camassa-Holm solitons
- Wave-breaking and peakons for a modified Camassa-Holm equation
- On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Uniqueness properties of solutions to the Benjamin-Ono equation and related models
- Instability of \(H^1\)-stable peakons in the Camassa-Holm equation
- Traveling wave solutions of the Camassa-Holm equation
- On the scattering problem for the Camassa-Holm equation
- Unique continuation properties for solutions to the Camassa-Holm equation and related models
- Inverse scattering transform for the Camassa–Holm equation
- A new integrable equation with cuspons and W/M-shape-peaks solitons
- Long-time Asymptotics for the Camassa–Holm Equation
- Generalizations of the Camassa–Holm equation
- Stability and instability of solitary waves of Korteweg-de Vries type
- A shallow water equation on the circle
- Stability of peakons
- An integrable shallow water equation with peaked solitons