High Dimensional Nonlinear Dispersive Models
Dispersive Equations | initial value problem | Traveling Waves
This work presents new results about several nonlinear equations. We investigate the (non)existence of solitary waves of the ZK equation and some of the their properties by using the variational methods. Next we study the initial value problem associated to some dissipative ZK equations (ZKB and Benney equations). We will also investigate the (non)existence and stability of solitary wave solutions of BO-ZK; and their properties. Furthermore, we are interested in studying the solitary wave solutions of the high dimensional Benjamin equations and their characteristics.