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

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

2008-01-09

arxiv.org/abs/0801.1437v1

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, 6 figures, 1 table

Scientific paper

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.

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