Generation, compression, and propagation of pulse trains in the nonlinear Schr\"odinger equation with distributed coefficients

Generation, compression, and propagation of pulse trains in the nonlinear Schrödinger equation with distributed coefficients

Luyun Wang, Lu Li, Zhonghao Li, Guosheng Zhou, and Dumitru Mihalache

Phys. Rev. E 72, 036614 – Published 15 September 2005

Abstract

The generalized nonlinear Schrödinger model with distributed dispersion, nonlinearity, and gain or loss is considered and the explicit, analytical solutions describing the dynamics of bright solitons on a continuous-wave background are obtained in quadratures. Then, the generation, compression, and propagation of pulse trains are discussed in detail. The numerical results show that solitons can be compressed by choosing the appropriate control fiber system, and pulse trains generated by modulation instability can propagate undistorsted along fibers with distributed parameters by controlling appropriately the energy of each pulse in the pulse train.

Received 28 April 2005

DOI:https://doi.org/10.1103/PhysRevE.72.036614

Authors & Affiliations

Luyun Wang, Lu Li^*, Zhonghao Li, and Guosheng Zhou

College of Physics and Electronics Engineering, and Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China

Dumitru Mihalache

Horia Hulubei National Institute of Physics and Nuclear Engineering, Institute of Atomic Physics, Department of Theoretical Physics, POBox MG-6, Bucharest, Romania

^*Electronic address: llz@sxu.edu.cn

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Vol. 72, Iss. 3 — September 2005

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Generation, compression, and propagation of pulse trains in the nonlinear Schrödinger equation with distributed coefficients

Luyun Wang, Lu Li, Zhonghao Li, Guosheng Zhou, and Dumitru Mihalache

Phys. Rev. E 72, 036614 – Published 15 September 2005

Abstract

Authors & Affiliations

Article Text (Subscription Required)

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Generation, compression, and propagation of pulse trains in the nonlinear Schrödinger equation with distributed coefficients

Luyun Wang, Lu Li, Zhonghao Li, Guosheng Zhou, and Dumitru Mihalache

Phys. Rev. E 72, 036614 – Published 15 September 2005

Abstract

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