The subject of my research is mathematical analysis of nonlinear partial differential equations with the linear dispersion. In particular, I have investigated the stability of line solitary waves of the nonlinear Schrödinger equations and the Zakharov-Kuznetsov equation and the center stable manifolds around line solitary waves of the Zakharov-Kuznetsov equation. My recent reserch interest is the asymptotic behavior of solutions around multi-solitary waves of the Zakharov-Kuznetsov equation and the Davey-Stewartson equation.

Keywords	Nonlinear Partial Differential Equations, The Nonlinear Schördinger Equation, The Zakharov-Kuznetsov Equation, Stabitlity of Solitary Waves
Faculty , Department	Faculty of Mathematics , Department of Mathematical Sciences