Class of solitary wave solutions of the one-dimensional Gross-Pitaevskii equation. Academic Article uri icon


  • 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 Schrdinger 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.

published proceedings

  • Phys Rev E Stat Nonlin Soft Matter Phys

author list (cited authors)

  • Atre, R., Panigrahi, P. K., & Agarwal, G. S.

citation count

  • 135

complete list of authors

  • Atre, Rajneesh||Panigrahi, Prasanta K||Agarwal, GS

publication date

  • May 2006