Collisional dynamics of solitons in the coupled PT symmetric nonlocal nonlinear Schrödinger equations

P. S. Vinayagam, R. Radha, U. Al Khawaja, Liming Ling

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

We investigate the focussing coupled PT symmetric nonlocal nonlinear Schrödinger equation employing Darboux transformation approach. We find a family of exact solutions including pairs of Bright-Bright, Dark-Dark and Bright-Dark solitons in addition to solitary waves. We show that one can convert bright bound state onto a dark bound state in a two soliton solution by selectively finetuning the amplitude dependent parameter. We also show that the energy in each mode remains conserved unlike the celebrated Manakov model. We also characterize the behaviour of the soliton solutions in detail. We emphasize that the above phenomenon occurs due to the nonlocality of the model.

Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume52
DOIs
Publication statusPublished - Nov 1 2017

Keywords

  • Bright soliton
  • Coupled nonlinear Schrödinger system
  • Darboux transformation
  • Dark soliton
  • Lax pair
  • PT symmetry

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

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