Nonlinear Schrodinger equation with chaotic, random, and nonperiodic nonlinearity

Details Nonlinear Schrodinger equation with chaotic, random, and nonperiodic nonlinearity Nonlinear Schrodinger equation with chaotic, random, and nonperiodic nonlinearity

2009-12-16

arxiv.org/abs/0912.3219v1

Physics Letters A, 374 (2010) 4594

Physics

Quantum Physics

4 pages, 6 figures

Scientific paper

In this paper we deal with a nonlinear Schr\"{o}dinger equation with chaotic, random, and nonperiodic cubic nonlinearity. Our goal is to study the soliton evolution, with the strength of the nonlinearity perturbed in the space and time coordinates and to check its robustness under these conditions. Comparing with a real system, the perturbation can be related to, e.g., impurities in crystalline structures, or coupling to a thermal reservoir which, on the average, enhances the nonlinearity. We also discuss the relevance of such random perturbations to the dynamics of Bose-Einstein Condensates and their collective excitations and transport.

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