LAGRANGIAN APPROACH FOR DARK SOLITONS Academic Article uri icon

abstract

  • We propose a variational formalism for dark solitons based on a nontrivial modification of the standard Lagrangian of the nonlinear Schrdinger equation. Our approach allows to consider a variety of asymptotically nonvanishing localised solutions for applying a variational technique together with the correct definition of momentum and energy. We demonstrate, on several particular examples, how this variational approach works, and we also point out its suitability for more general problems, e.g. those involving the analysis of the dark soliton interaction as well as the perturbation-induced dynamics of dark solitons and optical vortex solitons. 1995.

published proceedings

  • OPTICS COMMUNICATIONS

author list (cited authors)

  • KIVSHAR, Y. S., & KROLIKOWSKI, W.

citation count

  • 93

complete list of authors

  • KIVSHAR, YS||KROLIKOWSKI, W

publication date

  • February 1995