On Soliton Dynamics in Nonlinear Schrodinger Equations
Gang, Zhou · Sigal, I. M.
Original · EN
In this paper we announce the result of asymptotic dynamics of solitons of nonlinear Schrodinger equations with external potentials. To each local minima of the potential there is a soliton centered around it. Under some conditions on the nonlinearity, the potential and the datum, we prove that the solution can be decomposed into two parts: the soliton and the term dissipating to infinity.
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