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Wide Localized Solitons in Systems with Time and Space-Modulated Nonlinearities

By L. E. Arroyo-Meza, A. de Souza Dutra and M. B. Hott

Abstract

In this work we apply point canonical transformations to solve some classes of nonautonomous nonlinear Schr\"{o}dinger equation namely, those which possess specific cubic and quintic - time and space dependent - nonlinearities. In this way we generalize some procedures recently published which resort to an ansatz to the wavefunction and recover a time and space independent nonlinear equation which can be solved explicitly. The method applied here allow us to find wide localized (in space) soliton solutions to the nonautonomous nonlinear Schr\"{o}dinger equation, which were not presented before. We also generalize the external potential which traps the system and the nonlinearities terms.Comment: 19 pages, 5 figure

Topics: Quantum Physics
Publisher: 'American Physical Society (APS)'
Year: 2012
DOI identifier: 10.1103/PhysRevE.86.026605
OAI identifier: oai:arXiv.org:1206.0034

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