Solitary wave dynamics in time-dependent potentials
نویسندگان
چکیده
منابع مشابه
Solitary wave dynamics in time-dependent potentials
We rigorously study the long time dynamics of solitary wave solutions of the nonlinear Schrödinger equation in time-dependent external potentials. To set the stage, we first establish the well-posedness of the Cauchy problem for a generalized nonautonomous nonlinear Schrödinger equation. We then show that when the external potential varies slowly in space compared to the size of the soliton, th...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2008
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2837429