Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications

Details Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications

2008-04-29

arxiv.org/abs/0804.4645v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

In this paper we study blow-up phenomena in general coupled nonlinear
Schrodinger equations with different dispersion coefficients. We find
sufficient conditions for blow-up and for the existence of global solutions. We
discuss several applications of our results to heteronuclear multispecies
Bose-Einstein condensates and to degenerate boson-fermion mixtures.

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