Lie Symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities

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Using Lie group theory and canonical transformations, we construct explicit solutions of nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities. We present the general theory, use it to study different examples and use the qualitative theory of dynamical systems to obtain some properties of these solutions.
11 pages, 6 figures, 1 table

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Pattern Formation and Solitons, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/145649

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.1437
 http://arxiv.org/abs/0801.1437

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arXiv