Global conservative solution for a dissipative Camassa-Holm type equation with cubic and quartic nonlinearities

DOI10.1080/00036811.2022.2027379zbMath1517.35194OpenAlexW4206987602MaRDI QIDQ6170994

Wenjie Deng, Zhaoyang Yin

Publication date: 10 August 2023

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2022.2027379

zbMATH Keywords

peakon solutionsglobal conservative solutionsthe Camassa-Holm type equationthe semilinear system

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Solutions to PDEs in closed form (35C05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on the well-posedness of Camassa-Holm type equations in Besov spaces
• Local well-posedness and stability of peakons for a generalized Dullin-Gottwald-Holm equation
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• The trajectories of particles in Stokes waves
• Global conservative solutions of the Camassa-Holm equation
• Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Wave breaking for nonlinear nonlocal shallow water equations
• A note on well-posedness for Camassa-Holm equation.
• Global weak solutions for a shallow water equation
• Ill-posedness of the Camassa-Holm and related equations in the critical space
• A few remarks on the Camassa-Holm equation.
• Existence of permanent and breaking waves for a shallow water equation: a geometric approach
• A comment about the paper ``On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation
• Invariants and wave breaking analysis of a Camassa-Holm type equation with quadratic and cubic non-linearities
• Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation
• Orbital stability of elliptic periodic peakons for the modified Camassa-Holm equation
• On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation
• On the weak solutions to a shallow water equation
• On the scattering problem for the Camassa-Holm equation
• Particle trajectories in extreme Stokes waves
• GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• Stability of periodic travelling shallow-water waves determined by Newton's equation
• On the Cauchy problem for a generalized Camassa-Holm equation

This page was built for publication: Global conservative solution for a dissipative Camassa-Holm type equation with cubic and quartic nonlinearities