@article{29461cebb070437e83efe0960ba6a80f,
title = "Persistent bright solitons in sign-indefinite coupled nonlinear Schr{\"o}dinger equations with a time-dependent harmonic trap",
abstract = "We introduce a model based on a system of coupled nonlinear Schr{\"o}dinger (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.",
keywords = "Bright soliton, Coupled nonlinear Schr{\"o}dinger system, Gauge transformation, Lax pair",
author = "R. Radha and Vinayagam, {P. S.} and Sudharsan, {J. B.} and Malomed, {Boris A.}",
note = "Publisher Copyright: {\textcopyright} 2015 Published by Elsevier B.V.",
year = "2016",
month = feb,
day = "1",
doi = "10.1016/j.cnsns.2015.06.026",
language = "אנגלית",
volume = "31",
pages = "30--39",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier B.V.",
number = "1-3",
}