Blow-up and infinite propagation speed for a two-component \(b\)-family system

DOI10.1186/s13661-014-0224-1zbMath1304.35135OpenAlexW2120095074WikidataQ59324648 ScholiaQ59324648MaRDI QIDQ481586

Wei Feng, Zhongping Li

Publication date: 12 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0224-1

zbMATH Keywords

blow-upinfinite propagation speedshallow water theorya two-component \(b\)-family system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)

Cites Work

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• Analyticity of periodic traveling free surface water waves with vorticity
• Asymptotic profiles of solutions to the two-component Camassa-Holm system
• On an integrable two-component Camassa-Holm shallow water system
• On a two-component Degasperis-Procesi shallow water system
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• On the Cauchy problem for the periodic \(b\)-family of equations and of the non-uniform continuity of Degasperis-Procesi equation
• The trajectories of particles in Stokes waves
• Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system
• Wave breaking for nonlinear nonlocal shallow water equations
• Stokes waves
• Global existence for a new periodic integrable equation.
• Geodesic flow on the diffeomorphism group of the circle
• On asymptotically equivalent shallow water wave equations
• Existence of permanent and breaking waves for a shallow water equation: a geometric approach
• A 2-component or \(N=2\) supersymmetric Camassa-Holm equation
• A two-component generalization of the Camassa-Holm equation and its solutions
• Global existence and blow-up phenomena for the Degasperis-Procesi equation
• Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
• Blow-up and global solutions to a new integrable model with two components
• Global solutions and blow-up phenomena for the periodic b -equation
• On a Camassa–Holm type equation with two dependent variables
• On solutions to the Holm–Staleyb-family of equations
• Inverse scattering transform for the Camassa–Holm equation
• A two-component generalization of the Degasperis–Procesi equation
• Well-posedness, blow-up phenomena, and global solutions for the b-equation
• Extended Camassa-Holm Hierarchy and Conserved Quantities
• A shallow water equation on the circle
• Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves
• Stability of peakons
• Camassa–Holm, Korteweg–de Vries and related models for water waves
• A Variational Approach to the Stability of Periodic Peakons
• Blow-up solutions of the general b-equation
• Particle trajectories in solitary water waves

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