title: Binding energy of soliton molecules in time-dependent harmonic potential and nonlinear interaction.
abstract: We calculate the binding energy of soliton molecules of an integrable nonlinear Schro[over ̈]dinger equation with time-dependent harmonic potential and cubic nonlinearity. Through a scaling transformation, an exact formula for the binding energy can be derived from that of the free soliton molecules in a homogeneous background. In the special case of oscillatory time dependence, sharp resonances occur at some integer and fractional multiples of the natural frequency of the molecule. Enhanced binding is obtained at these resonances and over some finite continuous range of low frequencies.
authors.affiliation: Physics Department, United Arab Emirates University, P.O. Box 17551, Al-Ain, United Arab Emirates.
authors.forename: U
authors.initials: U
authors.lastname: Al Khawaja
authors.forename: Abdelâali
authors.initials: A
authors.lastname: Boudjemâa
mesh_terms: D003198:Computer Simulation; D004735:Energy Transfer; D008956:Models, Chemical; D017711:Nonlinear Dynamics; D011789:Quantum Theory