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- W2950655818 abstract "The effective long-time dynamics of solitary wave solutions of the nonlinear Schrodinger equation in the presence of rough nonlinear perturbations is rigorously studied. It is shown that, if the initial state is close to a slowly travelling soliton of the unperturbed NLS equation (in $H^1$ norm), then, over a long time scale, the true solution of the initial value problem will be close to a soliton whose center of mass dynamics is approximately determined by an effective potential that corresponds to the restriction of the nonlinear perturbation to the soliton manifold." @default.
- W2950655818 created "2019-06-27" @default.
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- W2950655818 date "2007-10-02" @default.
- W2950655818 modified "2023-09-27" @default.
- W2950655818 title "Effective Dynamics of Solitons in the Presence of Rough Nonlinear Perturbations" @default.
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