Modulational instability, solitons and periodic waves in models of quantum degenerate Boson-Fermion mixtures

2005/12/09 by Juan Belmonte-Beitia, Víctor M. Pérez‐García, Belmonte-Beitia, Juan +5 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #nlin.PS

paper · pdf · doi:10.48550/arxiv.nlin/0512020

arxiv created 2005/12/09 · arxiv updated 2009/12/01

Abstract

In this paper we study a system of coupled nonlinear Schrodinger equations modelling a quantum degenerate mixture of bosons and fermions. We analyze the stability of plane waves, give precise conditions for the existence of solitons and write explicit solutions in the form of periodic waves. We also check that the solitons observed previously in numerical simulations of the model correspond exactly to our explicit solutions and see how plane waves destabilize to form periodic waves.

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