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, issue 1

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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https://doi.org/10.1155/2011/513467

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2011:y:2011:i:1:n:513467

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