Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities

Details Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities

2006-11-28

arxiv.org/abs/nlin/0611051v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevLett.98.064102

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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