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Collapse in coupled nonlinear Schrödinger equations: Sufficient conditions and applications |
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| Authors: | Vladyslav Prytula,Vadym Vekslerchik,Ví ctor M. Pé rez-Garcí a |
| Affiliation: | a Departamento de Matemáticas, and Instituto de Matemática Aplicada a la Ciencia y la Ingeniería, E. T. S. de Ingenieros Industriales, Universidad de Castilla-La Mancha, Avda. Camilo Jose Cela, s/n, 13071 Ciudad Real, Spain b A. Ya. Usikov Institute for Radiophysics and Electronics, National Academy of Sciences of Ukraine, 12 Proskura Street, 61085 Kharkov, Ukraine |
| Abstract: | In this paper we study blow-up phenomena in general coupled nonlinear Schrödinger 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. |
| Keywords: | 03.75. Mn 05.45. Yv 02.30. Hr |
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