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arXiv · 0804.4645

Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications

Vladislav Prytula·Vadym Vekslerchik·Victor M. Perez-Garcia
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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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Vladislav Prytula, Vadym Vekslerchik, Victor M. Perez-Garcia. 2008-04-29. Collapse in coupled Nonlinear Schrodinger equations: Sufficient conditions and Applications. https://doi.org/10.1016/j.physd.2008.07.002

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