Communications in Mathematical Sciences

Volume 12 (2014)

Number 2

Scattering of solutions and stability of solitary waves for the generalized BBM-ZK equation

Pages: 293 – 315

DOI: https://dx.doi.org/10.4310/CMS.2014.v12.n2.a5

Author

Amin Esfahani (School of Mathematics and Computer, Science, Damghan University, Damghan, Iran)

Abstract

In this paper, a two-dimensional version of the BBM equation will be considered. The existence and scattering of global small amplitude solutions to this equation will be studied. The orbital stability of solitary wave solutions of this equation will be also investigated.

Keywords

BBM-ZK equation, scattering, orbital stability

2010 Mathematics Subject Classification

35B35, 35Q20, 35Q35, 76B15, 76B25

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Published 20 September 2013