Strong non-monotonic behavior of particle density of solitary waves of nonlinear Schrodinger equation in Bose-Einstein condensates (CROSBI ID 219004)
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Podaci o odgovornosti
Pašić, Mervan
engleski
Strong non-monotonic behavior of particle density of solitary waves of nonlinear Schrodinger equation in Bose-Einstein condensates
We study the focusing nonlinear Schrödinger equation (NLSE) which generalizes 1D Gross– Pitaevskii equation (GPE) with attractive atom– atom spatially (in)homogeneous interaction in Bose–Einstein condensates, where the potential is a non- monotone function, periodic or not. Following some recently published numerically simulations of the particle density of solutions of GPE with periodic potentials, one can conclude, it admits the non-monotonic behavior with respect to the spatial variable. Here, we present a mathematical approach to justify that, by giving a constructive method and finding some conditions on chemical and external potentials such that the particle density of solitary wave of NLSE has sign- changing first derivative as a kind of strong non-monotonic behavior of positive function. We apply it to the GPE with non-periodic as well as periodic potential having small enough amplitude and frequency.
particle density; Bose Einstein condensation; Schrodinger equation; Gross-Pitaevskii equation; non-monotonic behavior
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Podaci o izdanju
29 (1/3)
2015.
161-169
objavljeno
1007-5704
10.1016/j.cnsns.2015.05.003