On the Cauchy Problem for the b -Family Equations with a Strong Dispersive Term

Xuefei Liu, Mingxuan Zhu and Zaihong Jiang

Journal of Applied Mathematics, 2011, vol. 2011, 1-15

Abstract:

In this paper, we consider b -family equations with a strong dispersive term. First, we present a criterion on blow-up. Then global existence and persistence property of the solution are also established. Finally, we discuss infinite propagation speed of this equation.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:513467

DOI: 10.1155/2011/513467

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