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Updated: May 18, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Binding energy of soliton molecules in time-dependent harmonic potential and nonlinear interaction
U Al Khawaja1, Abdelâali Boudjemâa
1Physics Department, United Arab Emirates University, P.O. Box 17551, Al-Ain, United Arab Emirates.
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.
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