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March/April 2010 Semiclassical evolution of two rotating solitons for the Nonlinear Schrödinger Equation with electric potential
Alessandro Selvitella
Adv. Differential Equations 15(3/4): 315-348 (March/April 2010). DOI: 10.57262/ade/1355854752

Abstract

In this paper we study the dynamics in the semiclassical limit of some classes of solutions for an energy-subcritical focusing nonlinear Schrödinger equation in the presence of an electric potential. We prove the existence of a symmetric configuration of two solitons rotating around a common pole. The existence of such solutions derives mainly from the balance between the attracting force of the two solitons and the centrifugal force due to the rotation and not from the trapping effect of the potential.

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Alessandro Selvitella. "Semiclassical evolution of two rotating solitons for the Nonlinear Schrödinger Equation with electric potential." Adv. Differential Equations 15 (3/4) 315 - 348, March/April 2010. https://doi.org/10.57262/ade/1355854752

Information

Published: March/April 2010
First available in Project Euclid: 18 December 2012

zbMATH: 1203.35198
MathSciNet: MR2588772
Digital Object Identifier: 10.57262/ade/1355854752

Subjects:
Primary: 35B10 , 35Q40 , 35Q41 , 35Q51 , 35Q55

Rights: Copyright © 2010 Khayyam Publishing, Inc.

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Vol.15 • No. 3/4 • March/April 2010
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