Optical solitons with complex Ginzburg-Landau equation


Mirzazadeh M., EKİCİ M. , SÖNMEZOĞLU A. , Eslami M., Zhou Q., Kara A. H. , ...More

NONLINEAR DYNAMICS, vol.85, no.3, pp.1979-2016, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 85 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.1007/s11071-016-2810-5
  • Title of Journal : NONLINEAR DYNAMICS
  • Page Numbers: pp.1979-2016
  • Keywords: Solitons, Integrability, Constraints, PARABOLIC LAW NONLINEARITY, SINE-COSINE METHOD, WAVE SOLUTIONS, PERIODIC-SOLUTIONS, METAMATERIALS, KERR

Abstract

The paper revisits in a systematic way the complex Ginzburg-Landau equation with Kerr and power law nonlinearities. Several integration techniques are applied to retrieve various soliton solutions to the model for both forms of nonlinearity. Bright, dark as well as singular soliton solutions are obtained. Several other solutions such as periodic singular solutions and plane waves emerge as a by-product of integration algorithms. Constraint conditions hold all of these solutions in place. The numerical simulations for bright soliton solutions are given for Kerr and power law.