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

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.

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Bibliographic Details
Main Authors: Xuefei Liu, Mingxuan Zhu, Zaihong Jiang
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/513467
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