Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications
arXiv:0804.4645 · doi:10.1016/j.physd.2008.07.002
Abstract
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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