Variable coefficient nonlinear Schrödinger equations with four-dimensional symmetry groups and analysis of their solutions

Abstract

Analytical solutions of variable coefficient nonlinear Schrödinger equations having four-dimensional symmetry groups, which are in fact the next closest to the integrable ones occurring only when the Lie symmetry group is five-dimensional, are obtained using two different tools. The first tool is to use one-dimensional subgroups of the full symmetry group… (More)

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