Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
arXiv:nlin/0611051 · doi:10.1103/PhysRevLett.98.064102
Abstract
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 show that localized nonlinearities can support bound states with an arbitrary number solitons and discuss other applications of interest to the field of nonlinear matter waves.
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Cited by in corpus (41)
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