Some properties of solutions to the Camassa-Holm-type equation with higher-order nonlinearities
type: Item
instance of: scholarly article
title: Some properties of solutions to the Camassa-Holm-type equation with higher-order nonlinearities
zbMATH Open document ID: 1402.37084
author: Zhengguang Guo
author: Xiuge Li
author: Chuang Yu
published in: Journal of Nonlinear Science
publication date: 2018-12-06T00:00:00Z
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 37L05
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 6989731
zbMATH Keywords: large-time behavior
zbMATH Keywords: persistence properties
zbMATH Keywords: weighted Sobolev spaces
MaRDI profile type: Publication
full work available at URL: s00332-018-9469-7
OpenAlex ID: W2805465438
cites work: Nonuniform sampling and reconstruction in shift-invariant spaces
cites work: A family of wave-breaking equations generalizing the Camassa-Holm and Novikov equations
cites work: A nonlinear generalization of the Camassa-Holm equation with peakon solutions
cites work: Breakdown for the Camassa–Holm Equation Using Decay Criteria and Persistence in Weighted Spaces
cites work: Global analyticity for a generalized Camassa-Holm equation and decay of the radius of spatial analyticity
cites work: An integrable shallow water equation with peaked solitons
cites work: Analyticity of periodic traveling free surface water waves with vorticity
cites work: Stability of peakons
cites work: The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
cites work: Q4508328
cites work: Symplectic structures, their Bäcklund transformations and hereditary symmetries
cites work: Q5447945
cites work: Peakon solutions of the Novikov equation and properties of the data-to-solution map
cites work: The Cauchy problem for the Novikov equation
cites work: The Cauchy problem for a generalized Camassa-Holm equation
cites work: Stability of stationary solutions for nonintegrable peakon equations
cites work: The Cauchy problem for an integrable shallow-water equation
cites work: Persistence properties and unique continuation for a generalized Camassa-Holm equation
cites work: Persistence properties and unique continuation of solutions of the Camassa-Holm equation
cites work: Global weak solutions to the Novikov equation
cites work: Stability of peakons for the Novikov equation
cites work: Breakdown of the Camassa-Holm equation
cites work: Generalizations of the Camassa–Holm equation
cites work: A new asymptotic behavior of solutions to the Camassa-Holm equation
cites work: Well-posedness and persistence properties for the Novikov equation
cites work: An equation unifying both Camassa-Holm and Novikov equations
cites work: The Periodic Cauchy Problem for Novikov's Equation
cites work: Conserved quantities, global existence and blow-up for a generalized CH equation
cites work: Global weak solutions for the Novikov equation
Wikidata QID: Q129801976
DOI: 10.1007/S00332-018-9469-7
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description: scientific article; zbMATH DE number 6989731