Existence of the periodic peaked solitary-wave solutions to the Camassa-Holm-Kadomtsev-Petviashvili equation
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Publication:2680698
DOI10.1007/s44198-022-00068-3zbMath1502.35141OpenAlexW4283779530MaRDI QIDQ2680698
Publication date: 4 January 2023
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s44198-022-00068-3
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Initial value problems for nonlinear higher-order PDEs (35G25) Soliton solutions (35C08)
Cites Work
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- Some nonlinear dispersive waves arising in compressible hyperelastic plates
- Analyticity of periodic traveling free surface water waves with vorticity
- Global well-posedness for the KP-II equation on the background of a non-localized solution
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- The trajectories of particles in Stokes waves
- A remark on the stability of peakons for the Degasperis-Procesi equation
- Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Acoustic scattering and the extended Korteweg-de Vries hierarchy
- Wave breaking for nonlinear nonlocal shallow water equations
- On the Cauchy problem for the Kadomtsev-Petviashvili equation
- Solitary waves of generalized Kadomtsev-Petviashvili equations
- Stokes waves
- Global well-posedness for the Kadomtsev-Petviashvili II equation
- Geometric integrability of the Camassa-Holm equation
- A Liouville property with application to asymptotic stability for the 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
- On a two dimensional nonlocal shallow-water model
- On the stability of the solitary waves to the (generalized) Kawahara equation
- Traveling wave solutions of the Camassa-Holm equation
- On the scattering problem for the Camassa-Holm equation
- Particle trajectories in extreme Stokes waves
- Inverse scattering transform for the Camassa–Holm equation
- Long-time Asymptotics for the Camassa–Holm Equation
- A shallow water equation on the circle
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Growth of Perturbations to the Peaked Periodic Waves in the Camassa--Holm Equation
- Particle trajectories in solitary water waves
- Orbital stability of solitary waves for a shallow water equation