Multicomponent Nonlinear Systems of Bose-Fermi Fields: Exact Solutions

Journal Article · Thu Apr 07 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3582738· OSTI ID:21513174

Kostov, Nikolay A; Gerdjikov, Vladimir S; Valchev, Tihomir I ^[1]

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1. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko chaussee, 1784 Sofia (Bulgaria)

We present families of stationary solutions for a multicomponent nonlinear system of two boson and N{sub f} fermion fields in terms of elliptic functions of modulus k. This system is an extention of models, describing Bose-Fermi mixtures in the mean field approximation. We also single out the particular cases when the quasiperiodic solutions become periodic ones. In the limit of sinusoidal external potential (k{yields}0) our solutions model periodic waves trapped in an optical lattice. The other limit k{yields}1 provides solutions expressed by hyperbolic functions (vector solitons). Thus we demonstrate that our system describes quasi-periodic and periodic waves, as well as solitons.

• OSTI ID: 21513174
• Journal Information: AIP Conference Proceedings, Vol. 1340, Issue 1; Conference: International workshop on complex structures, integrability and vector fields, Sofia (Bulgaria), 13-17 Sep 2010; Other Information: DOI: 10.1063/1.3582738; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
BOSONS
EXACT SOLUTIONS
FERMIONS
FUNCTIONAL ANALYSIS
FUNCTIONS
MEAN-FIELD THEORY
NONLINEAR PROBLEMS
PERIODICITY
SCHROEDINGER EQUATION
SOLITONS
TRAPPING
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL SOLUTIONS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
VARIATIONS
WAVE EQUATIONS