Stability and Decay properties of Solitary wave solutions for the generalized BO-ZK equation
Ademir Pastor | Esfahani, Amin
Nonlinear PDE; Solitary Wave Solution; Stability | Decay
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.