Collapse arrest and soliton stabilization in nonlocal nonlinear media

Details Collapse arrest and soliton stabilization in nonlocal nonlinear media Collapse arrest and soliton stabilization in nonlocal nonlinear media

2002-01-19

arxiv.org/abs/nlin/0201036v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages with 3 figures

Scientific paper

10.1103/PhysRevE.66.046619

We investigate the properties of localized waves in systems governed by nonlocal nonlinear Schrodinger type equations. We prove rigorously by bounding the Hamiltonian that nonlocality of the nonlinearity prevents collapse in, e.g., Bose-Einstein condensates and optical Kerr media in all physical dimensions. The nonlocal nonlinear response must be symmetric, but can be of completely arbitrary shape. We use variational techniques to find the soliton solutions and illustrate the stabilizing effect of nonlocality.

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