Wave breaking and global existence for the generalized periodic Camassa-Holm equation with the weak dissipation

DOI10.1155/2022/6955014OpenAlexW4311914564MaRDI QIDQ2690046

Congming Peng, Ying Zhang

Publication date: 15 March 2023

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

Full work available at URL: https://doi.org/10.1155/2022/6955014

zbMATH Keywords

periodic boundary conditionscubic and quartic nonlinearities

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)

Cites Work

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• Blow-up of solutions for the dissipative Dullin-Gottwald-Holm equation with arbitrary coefficients
• Well-posedness, blow-up phenomena and global existence for the generalized \(b\)-equation with higher-order nonlinearities and weak dissipation
• On blow-up phenomena for the weakly dissipative Camassa-Holm equation
• Global existence and uniform decay for wave equation with dissipative term and boundary damping
• Global existence and blow-up phenomena for the weakly dissipative Camassa-Holm equation
• Special issue on the occasion of the 50th volume
• On the blow-up of solutions of a periodic shallow water equation
• On a shallow-water approximation to the Green-Naghdi equations with the Coriolis effect
• Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation
• Existence and uniqueness of the global conservative weak solutions to the rotation-Camassa-Holm equation
• Classical solutions of the periodic Camassa-Holm equation.
• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
• On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
• Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect
• Wave breaking for shallow water models with time decaying solutions
• Invariants and wave breaking analysis of a Camassa-Holm type equation with quadratic and cubic non-linearities
• Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation
• A nonlocal shallow-water model arising from the full water waves with the Coriolis effect
• Wave breaking and global solutions of the weakly dissipative periodic Camassa-Holm type equation
• Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation revisited
• Blow-up, blow-up rate and decay of the solution of the weakly dissipative Camassa-Holm equation
• Blow-Up and Decay of the Solution of the Weakly Dissipative Degasperis–Procesi Equation
• An integrable shallow water equation with peaked solitons
• Numerical solutions of nonlinear 3‐dimensional Volterra integral‐differential equations with 3D‐block‐pulse functions
• A Variational Approach to the Stability of Periodic Peakons
• Integrability, existence of global solutions, and wave breaking criteria for a generalization of the Camassa–Holm equation
• Global well-posedness and infinite propagation speed for the N − abc family of Camassa–Holm type equation with both dissipation and dispersion
• Global existence and uniform stabilization of a generalized dissipative Klein–Gordon equation type with boundary damping
• Blow-up phenomena for the weakly dissipative Dullin–Gottwald–Holm equation

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