Existence and nonexistence of solutions for the generalized Camassa-Holm equation

DOI10.1186/1687-1847-2014-111zbMath1343.35206OpenAlexW2057237327WikidataQ59323805 ScholiaQ59323805MaRDI QIDQ738409

Pan Xiujuan, Kang, Shin Min, Young-Chel Kwun

Publication date: 2 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-111

zbMATH Keywords

energy estimategeneralized Camassa-Holm equationlow regularity solutionsmooth solitary wave

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (2)

Unnamed Item ⋮ Blow-up issues for the weakly dissipative periodic b-family of equations revisited

Cites Work

• Existence and uniqueness of low regularity solutions for the Dullin-Gottwald-Holm equation
• Blow-up of solutions to the DGH equation
• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• Global existence and blow-up solutions for a nonlinear shallow water equation
• The limit behavior of the solutions to a class of nonlinear dispersive wave equations
• On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation
• On the inverse scattering problem and the low regularity solutions for the Dullin-Gottwald-Holm equation
• Global existence and blow-up phenomena for the peakon $b$-family of equations
• On the Inverse Scattering Approach to the Camassa-Holm Equation
• Local Well-Posedness and Orbital Stability of Solitary Wave Solutions for the Generalized Camassa–Holm Equation
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