IJPAM: Volume 91, No. 4 (2014)
OF WEAKLY DISSIPATIVE VAKHNENKO EQUATION
School of Xinglin, School of Sciences
Nantong, Jiangsu, 226007, P.R. CHINA
Abstract. In this paper, we study the Vakhnenko equation with linear dissipation, which can be derived from the evolution of shallow water waves on a rotating fluid in the limit of small high-frequency dissipation. We show that the wave breaking phenomenon is affected by the dissipative parameters, we also determine the exact blow-up rate of wave breaking solutions.
Received: December 13, 2013
AMS Subject Classification: 35G25, 35L05, 35B30, 35L55
Key Words and Phrases: Vakhnenko equation, wave breaking
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DOI: 10.12732/ijpam.v91i4.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395