Abstract
By means of similarity transformation, this paper proposes the matter-wave soliton solutions and dynamics of the variable coefficient cubic-quintic nonlinear Schrödinger equation arising from Bose-Einstein condensates with time-dependent two- and three-body interactions. It is found that, under the effect of time-dependent two- and three-body interaction and harmonic potential with time-dependent frequency, the density of atom condensates will gradually diminish and finally collapse.
Highlights
Bose-Einstein condensation was first predicted by Einstein and Indian physicist Bose in 1924-1925
It is an exotic quantum phenomenon that was observed in dilute atomic gases for the first time in 1995 [1,2,3]
Nonlinearity management arises in atomic physics for the Feshbach resonance [4, 8] of the scattering length of interatomic interactions in Bose-Einstein condensate (BEC), where the interaction strength can be characterized by a single parameter, the s-wave scattering length as
Summary
Bose-Einstein condensation was first predicted by Einstein and Indian physicist Bose in 1924-1925. Advances in Condensed Matter Physics soliton solutions of the variable coefficient cubic-quintic nonlinear Schrodinger equation are obtained by using similarity transformation. The exact matter-wave soliton solution of the variable coefficient CQNLS equation is ψ (x, t) = ρU (T, X) eiφ,. To sum up, when the external potential is time-dependent harmonic potential V(x, t) = 2Ω1(1 + 2Ω1t2)x2, the coefficients of two- and three-body interactions are g(t) = (σ2C62/2ρ2)e−2Ω12t2 , G(t) = (σ3C62/2ρ4)e−2Ω12t2 , and we derive three families of exact matter-wave soliton solutions of the variable coefficient CQNLS equation (1) as follows. By considering the rest five cases of frequency ω and function η1, we can obtain other exact matter-wave soliton solutions of the variable coefficient CQNLS equation (1) under different types of two- and three-body interactions
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
