Soliton interaction under the influence of higher-order effects

BOZKURT M., Li L., Li Z., Zhou G.

OPTICS COMMUNICATIONS, vol.210, no.3-6, pp.375-384, 2002 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 210 Issue: 3-6
  • Publication Date: 2002
  • Doi Number: 10.1016/s0030-4018(02)01803-5
  • Journal Name: OPTICS COMMUNICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.375-384
  • Keywords: Darboux transformation, Hirota equation, interaction, optical communication, NONLINEAR SCHRODINGER-EQUATION, SELF-PHASE MODULATION, 3RD-ORDER DISPERSION, PULSE-PROPAGATION, OPTICAL SOLITONS, WAVE SOLUTIONS, INSTABILITY
  • Ankara University Affiliated: Yes

Abstract

In this paper, we present exact N-soliton solution by employing simple, straightforward Darboux transformation based on the Lax pair for Hirota equation, a higher-order nonlinear Schrodinger (HNLS) equation. As examples, one- and two-soliton solutions in explicit forms are given and their properties are also analyzed. A bound solution without interaction will be theoretically predicted if one can adjust frequency shift for each soliton appropriately. Further, we obtain the approximate eigenvalues by employing two-soliton solution and discuss analytically the interaction between neighboring solitons under the influence of the higher-order effects. It is shown that the combined effects of the higher-order effects can restrain the interaction between neighboring solitons to some extent, The results are proved by directly solving HNLS equation numerically. (C) 2002 Elsevier Science B.V. All rights reserved.