Optical solitons and conservation laws with quadratic-cubic nonlinearity Academic Article uri icon

abstract

  • 2016 Elsevier GmbH We consider an extended nonlinear Schrdinger equation with competing quadratic-cubic nonlinearity. The model appears as an approximate form of a relatively dense quasi-one-dimensional BoseEinstein condensate with repulsive contact interactions between atoms and a long-range dipoledipole attraction between them. Exact analytical soliton solutions for the model are derived by utilizing the method of undetermined coefficients. The solutions comprise bright, dark, and singular solitons. Furthermore, we present a new structure which describes the evolution of two different type solitons in the form of W-shaped soliton solution and a bright soliton solution on a continuous-wave background. The constraint conditions for the existence of these solutions are also exhibited. The numerical evolution of the obtained solutions is also presented.

published proceedings

  • OPTIK

author list (cited authors)

  • Triki, H., Biswas, A., Moshokoa, S. P., & Belic, M.

citation count

  • 115

complete list of authors

  • Triki, Houria||Biswas, Anjan||Moshokoa, Seithuti P||Belic, Milivoj

publication date

  • January 2017

published in