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Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation

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  • Panpan Zhai
  • Zhengguang Guo
  • Weiming Wang

Abstract

This paper is concerned with blow-up phenomena and persistence properties for an integrable two-component Dullin-Gottwald-Holm shallow water system. We give sufficient conditions on the initial data which guarantee blow-up phenomena of solutions in finite time for both periodic and nonperiodic cases, respectively. Furthermore, the persistence properties of solutions to the system are investigated.

Suggested Citation

  • Panpan Zhai & Zhengguang Guo & Weiming Wang, 2013. "Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-13, June.
    • Handle: RePEc:hin:jnlaaa:750315
    DOI: 10.1155/2013/750315
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