Modulational instability, solitons and periodic waves in a model of quantum degenerate boson–fermion mixtures

Autor:	Juan Belmonte-Beitia, Vadym Vekslerchik, Víctor M. Pérez-García
Rok vydání:	2007
Předmět:	Physics General Mathematics Applied Mathematics Degenerate energy levels Plane wave General Physics and Astronomy Statistical and Nonlinear Physics Fermion Schrödinger equation Nonlinear system symbols.namesake Modulational instability Quantum mechanics symbols Quantum Boson
Zdroj:	Chaos, Solitons & Fractals. 32:1268-1277
ISSN:	0960-0779
DOI:	10.1016/j.chaos.2005.12.043
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f5f8f036f35349ce8242206cb777e50a https://doi.org/10.1016/j.chaos.2005.12.043 Zobrazit plný text záznamu Full Text from ScienceDirect