On a generalized Camassa‐Holm type equation with ()‐degree nonlinearities

DOI10.1002/zamm.201600055OpenAlexW2806321114MaRDI QIDQ6086255

Chong Bin Xu, Zhengguang Guo, Kunquan Li

Publication date: 12 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201600055

zbMATH Keywords

asymptotic descriptionCamassa-Holm type equationestimate of momentum support\((k+1)\)-degree nonlinearities

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Wave equation (35L05) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (6)

The entropy weak solution to a generalized Fornberg-Whitham equation ⋮ A necessary and sufficient condition of blow-up for a nonlinear equation ⋮ Global weak solutions to a nonlinear equation with fourth order nonlinearities ⋮ Large time behavior of momentum support for a Novikov type equation ⋮ Unnamed Item ⋮ Global existence and long time behavior of the generalized Camassa–Holm equation with k + 1 degree nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• The properties of solutions for a generalized \(b\)-family equation with peakons
• Conserved quantities, global existence and blow-up for a generalized CH equation
• Analyticity of periodic traveling free surface water waves with vorticity
• On the Cauchy problem for the \(b\)-family equations with a strong dispersive term
• The support of the momentum density of the Camassa-Holm equation
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Peakon solutions of the Novikov equation and properties of the data-to-solution map
• Global weak solutions to the Novikov equation
• Persistence properties and unique continuation of solutions of the Camassa-Holm equation
• Persistence properties and unique continuation for a generalized Camassa-Holm equation
• Global weak solutions for the Novikov equation
• The Periodic Cauchy Problem for Novikov's Equation
• Generalizations of the Camassa–Holm equation
• Breakdown of the Camassa-Holm equation
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• The Cauchy problem for the Novikov equation
• The Cauchy problem for a generalized Camassa-Holm equation
• The Cauchy problem for the Novikov equation

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