title: Class of solitary wave solutions of the one-dimensional Gross-Pitaevskii equation.
abstract: We present a large family of exact solitary wave solutions of the one-dimensional Gross-Pitaevskii equation, with time-varying scattering length and gain or loss, in both expulsive and regular parabolic confinement regimes. The consistency condition governing the soliton profiles is shown to map onto a linear Schrödinger eigenvalue problem, thereby enabling one to find analytically the effect of a wide variety of temporal variations in the control parameters, which are experimentally realizable. Corresponding to each solvable quantum mechanical system, one can identify a soliton configuration. These include soliton trains in close analogy to experimental observations of Streckeret al. [Nature (London) 417, 150 (2002)], spatiotemporal dynamics, solitons undergoing rapid amplification, collapse and revival of condensates, and analytical expression of two-soliton bound states, to name a few.
authors.affiliation: Physical Research Laboratory, Navrangpura, Ahmedabad, India. atre@prl.res.in
authors.forename: Rajneesh
authors.initials: R
authors.lastname: Atre
authors.forename: Prasanta K
authors.initials: PK
authors.lastname: Panigrahi
authors.forename: G S
authors.initials: GS
authors.lastname: Agarwal