The dynamic properties of solutions for a nonlinear shallow water equation

DOI10.1186/s13661-019-1281-2OpenAlexW2981363151WikidataQ127027081 ScholiaQ127027081MaRDI QIDQ2108393

Yeqin Su, Sen Ming, Shaoyong Lai

Publication date: 19 December 2022

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

Full work available at URL: https://doi.org/10.1186/s13661-019-1281-2

zbMATH Keywords

global solutionlocal well-posednesswave-breakinginfinite propagation speed

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Qualitative properties of solutions to partial differential equations (35Bxx) General higher-order partial differential equations and systems of higher-order partial differential equations (35Gxx)

Cites Work

• On the Cauchy problem for a class of shallow water wave equations with \((k+1)\)-order nonlinearities
• On an integrable Camassa-Holm type equation with cubic nonlinearity
• Global existence and blow-up phenomena for the weakly dissipative Novikov equation
• On the behavior of the solution of the dissipative Camassa-Holm equation with the arbitrary dispersion coefficient
• Wave breaking and propagation speed for the Camassa-Holm equation with \(\kappa \neq 0\)
• A model containing both the Camassa-Holm and Degasperis-Procesi equations
• Special issue on the occasion of the 50th volume
• Some properties of solutions to the Camassa-Holm-type equation with higher-order nonlinearities
• Existence and uniqueness of the global conservative weak solutions to the rotation-Camassa-Holm equation
• A Liouville property with application to asymptotic stability for the Camassa-Holm equation
• On the finite time singularities for a class of Degasperis-Procesi equations
• Well-posedness and wave breaking of the degenerate Novikov equation
• Global existence and propagation speed for a generalized Camassa-Holm model with both dissipation and dispersion
• An 𝑎𝑏-family of equations with peakon traveling waves
• Persistence properties and unique continuation for a generalized Camassa-Holm equation
• A Dispersive Regularization for the Modified Camassa--Holm Equation
• Construction of 2-Peakon Solutions and Ill-Posedness for the Novikov Equation
• Generic Regularity of Conservative Solutions to Camassa--Holm Type Equations
• The Cauchy problem of a weakly dissipative shallow water equation
• The Cauchy problem for a generalized Camassa-Holm equation

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