Generalized gauge transformation approach to construct dark solitons of coupled nonlinear Schrodinger type equations

P. S. Vinayagam; R. Radha; Vivek M. Vyas; K. Porsezian

Generalized gauge transformation approach to construct dark solitons of coupled nonlinear Schrodinger type equations

Exactly Solvable and Integrable Systems 2015-03-04 v1 Pattern Formation and Solitons

Authors: P. S. Vinayagam , R. Radha , Vivek M. Vyas , K. Porsezian

Abstract

We harness the freedom in the celebrated gauge transformation approach to generate dark solitons of coupled nonlinear Schr\"odinger (NLS) type equations. The new approach which is purely algebraic could prove to be very useful, particularly in the construction of vector dark solitons in the fields of nonlinear optics, plasma physics and Bose-Einstein condensates. We have employed this algebraic method to coupled Gross- Pitaevskii (GP) and NLS equations and obtained dark solitons.

Keywords

gauge transformation dark solitons coupled nonlinear Schrodinger equations vector dark solitons algebraic method Gross-Pitaevskii equations Bose-Einstein condensates

Cite

@article{arxiv.1503.00853,
  title  = {Generalized gauge transformation approach to construct dark solitons of coupled nonlinear Schrodinger type equations},
  author = {P. S. Vinayagam and R. Radha and Vivek M. Vyas and K. Porsezian},
  journal= {arXiv preprint arXiv:1503.00853},
  year   = {2015}
}

Comments

11 pages, 12 figures. To appear in Romanian Reports in Physics

Generalized gauge transformation approach to construct dark solitons of coupled nonlinear Schrodinger type equations

Abstract

Keywords

Cite

Comments

Related papers