Abstract
We show the existence of waveforms of finite-energy (vector solitons) for a coupled nonlinear Schrödinger system with inhomogeneous coefficients. Furthermore, some of these solutions are approximated using a Newton-type iteration, combined with a collocation-spectral strategy to discretize the corresponding soliton equations. Some numerical simulations concerned with analysis of a collision of two oncoming vector solitons of the system are also performed.
Highlights
Several physical processes related to wave motion can be described using systems of coupled nonlinear Schrodinger (CNLS) equations
We show the existence of waveforms of finite-energy for a coupled nonlinear Schrodinger system with inhomogeneous coefficients
There has been a great interest on the study of CNLS systems with nonlinear terms modulated by coefficients which depend either on space, time, or both
Summary
Several physical processes related to wave motion can be described using systems of coupled nonlinear Schrodinger (CNLS) equations. The study of wave propagation in Bose-Einstein twocomponent condensates with spatially inhomogeneous interactions has been a field of intense research activity in Physics in the last few years [16,17,18,19,20,21,22,23,24]. The investigation of multicomponent solitons ( known as vector solitons) has attracted a great deal of attention, starting with the classical work by Manakov [25]. This type of permanent finite-energy waveform arises in CNLS systems due to the interplay between the second-order dispersion and cubic or high-order nonlinearity
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