Integrable aspects and applications of a generalized inhomogeneous N-coupled nonlinear Schrödinger system in plasmas and optical fibers via symbolic computation

For describing the general behavior of N fields propagating in inhomogeneous plasmas and optical fibers, a generalized N-coupled nonlinear Schrödinger system is investigated with symbolic computation in this Letter. When the coefficient functions obey the Painlevé-integrable conditions, the ( N + 1...

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Bibliographic Details
Published in:Physics letters. A 2008, Vol.372 (12), p.1990-2001
Main Authors: Xu, Tao, Li, Juan, Zhang, Hai-Qiang, Zhang, Ya-Xing, Hu, Wei, Gao, Yi-Tian, Tian, Bo
Format: Article
Language:English
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Summary:For describing the general behavior of N fields propagating in inhomogeneous plasmas and optical fibers, a generalized N-coupled nonlinear Schrödinger system is investigated with symbolic computation in this Letter. When the coefficient functions obey the Painlevé-integrable conditions, the ( N + 1 ) × ( N + 1 ) nonisospectral Lax pair associated with such a model is derived by means of the Ablowitz–Kaup–Newell–Segur formalism. Furthermore, the Darboux transformation is constructed so that it becomes exercisable to generate the multi-soliton solutions in a recursive manner. Through the graphical analysis of some exact analytic one- and two-soliton solutions, our discussions are focused on the envelope soliton excitation in time-dependent inhomogeneous plasmas and the optical pulse propagation with the constant (or distance-related) fiber gain/loss and phase modulation.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2007.10.068