Large time behavior for the support of momentum density of the Camassa-Holm equation

DOI10.1063/1.4817486zbMath1293.35280OpenAlexW2032830345MaRDI QIDQ5407643

Yong Zhou, Zaihong Jiang, Mingxuan Zhu

Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4817486

zbMATH Keywords

stabilityasymptoticsCamassa-Holm equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear first-order PDEs (35F20)

Related Items (12)

The Cauchy problem for the Camassa-Holm-Novikov equation ⋮ Well-posedness and blow-up phenomena for the cross-coupled Camassa-Holm system ⋮ Blow-up phenomena for the weakly dissipative Dullin–Gottwald–Holm equation ⋮ A note on the generalized Camassa-Holm equation ⋮ Wave breaking and infinite propagation speed for a modified two-component Camassa-Holm system with \(\kappa = 0\) ⋮ Large time behavior of momentum support for a Novikov type equation ⋮ The Cauchy problem for higher-order modified Camassa-Holm equations on the circle ⋮ Well-posedness and blow-up solution for the stochastic Dullin-Gottwald-Holm equation ⋮ Large time behavior for the support of momentum density of the Holm-Staley \(b\)-family equation with weakly dissipative term ⋮ Persistence property and infinite propagation speed for the \(b\)-family of Fokas-Olver-Rosenau-Qiao (\(b\)FORQ) model ⋮ Global existence and long time behavior of the generalized Camassa–Holm equation with k + 1 degree nonlinearities ⋮ Analytical properties for the fifth-order b-family Novikov model

Cites Work

• Wave breaking of the Camassa-Holm equation
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Breakdown of a shallow water equation
• Wave breaking for a shallow water equation
• Persistence properties and unique continuation of solutions of the Camassa-Holm equation
• Breakdown of the Camassa-Holm equation
• An integrable shallow water equation with peaked solitons

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