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arXiv · 1507.00470

Persistent bright solitons in sign-indefinite coupled nonlinear Schrodinger equations with a time-dependent harmonic trap

R. Radha·P. S. Vinayagam·J. B. Sudharsan·Boris. A. Malomed
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Abstract

We introduce a model based on a system of coupled nonlinear Schrodinger (NLS) equations with opposite signs infront of the kinetic and gradient terms in the two equations. It also includes time-dependent nonlinearity coefficients and a parabolic expulsive potential. By means of a gauge transformation, we demonstrate that, with a special choice of the time dependence of the trap, the system gives rise to persistent solitons. Exact single and two-soliton analytical solutions and their stability are corroborated by numerical simulations. In particular, the exact solutions exhibit inelastic collisions between solitons.

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R. Radha, P. S. Vinayagam, J. B. Sudharsan, Boris. A. Malomed. 2015-07-02. Persistent bright solitons in sign-indefinite coupled nonlinear Schrodinger equations with a time-dependent harmonic trap. https://arxiv.org/abs/1507.00470

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