Stability and Decay properties of Solitary wave solutions for the generalized BO-ZK equation

Mathematics – Analysis of PDEs

Scientific paper

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24 pages

Scientific paper

In this paper we study the generalized BO-ZK equation in two dimensions. We
classify the existence and non-existence of solitary waves depending on the
sign of the dispersions and on the nonlinearity. By using the approach
introduced by Cazenave and Lions we study the nonlinear stability of solitary
waves. We also prove some decay and regularity properties of such waves.

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