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Several Dynamic Properties of Solutions to a Generalized Camassa‐Holm Equation

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  • Zheng Yin

Abstract

For a nonlinear generalization of the Camassa‐Holm equation, we investigate the dynamic properties of solutions for the equation under the assumption that the initial value u0(x) lies in the space H1(R). A one‐sided upper bound estimate on the first‐order spatial derivative, Lp bound estimate, and a space‐time higher‐norm estimate for the solutions are obtained.

Suggested Citation

  • Zheng Yin, 2013. "Several Dynamic Properties of Solutions to a Generalized Camassa‐Holm Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:247841
    DOI: 10.1155/2013/247841
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    References listed on IDEAS

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    1. Shaoyong Lai, 2013. "The Global Weak Solution for a Generalized Camassa-Holm Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, January.
    2. Shaoyong Lai, 2013. "The Global Weak Solution for a Generalized Camassa‐Holm Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Nattakorn Sukantamala & Supawan Nanta, 2021. "On Solitary Wave Solutions for the Camassa‐Holm and the Rosenau‐RLW‐Kawahara Equations with the Dual‐Power Law Nonlinearities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).

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