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

R. Radha*, P. S. Vinayagam, J. B. Sudharsan, Boris A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We introduce a model based on a system of coupled nonlinear Schrödinger (NLS) equations with opposite signs in front of the kinetic and gradient terms in 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.

Original languageEnglish
Pages (from-to)30-39
Number of pages10
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume31
Issue number1-3
DOIs
StatePublished - 1 Feb 2016

Funding

FundersFunder number
University Grants Commission
Bangladesh Council of Scientific and Industrial Research03(1323)/14/EMR-I I
Department of Science and Technology, Government of Kerala

    Keywords

    • Bright soliton
    • Coupled nonlinear Schrödinger system
    • Gauge transformation
    • Lax pair

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