Work

Direct analysis of the bright-soliton collisions in the focusing vector nonlinear Schrödinger equation

Year: 2010

Type: article

Abstract: The multi-component Wronskian representation of the bright N -soliton solution to the focusing vector nonlinear Schrödinger equation for certain optical fibers allows a direct algebraic method to study the collision behavior of N vector solitons with m components. In this letter, this method is used to analyze the two- and three-soliton collisions via symbolic computation. The phase-shift formulae induced by the vector-soliton collisions are given explicitly, and the parametric conditions are revealed for the amplitude preservation of all the soliton components in the collision. In addition, the generalized linear fractional transformations are also derived to directly describe the state change for each component of colliding solitons.

Source: Europhysics Letters (EPL)

DOI: 10.1209/0295-5075/92/50002

Authors: Tao Xu, Bo Tian, Yu-Shan Xue, Feng-Hua Qi

Institutions: Beijing University of Posts and Telecommunications, State Key Laboratory of Software Development Environment, Beihang University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze