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Integrable aspects and applications of a generalized inhomogeneous N-coupled nonlinear Schrödinger system in plasmas and optical fibers via symbolic computation |
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| Authors: | Tao Xu Hai-Qiang Zhang Wei Hu Bo Tian |
| Institution: | a School of Science, PO Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China b Department of Mathematics and LMIB, Beijing University of Aeronautics and Astronautics, Beijing 100083, China c Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China d State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100083, China e Key Laboratory of Optical Communication and Lightwave Technologies, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China |
| Abstract: | 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. |
| Keywords: | 05 45 Yv 02 30 Ik 52 35 Sb 42 81 Dp 02 70 Wz |
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