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Staff Introduction
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 |
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Faculty , Department | Faculty of Mathematics , Department of Mathematical Sciences |