期刊
APPLIED MATHEMATICS LETTERS
卷 120, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2021.107161
关键词
Optical waves/modes; Multicomponent inhomogeneous optical fiber; Symbolic computation; Three-coupled variable-coefficient nonlinear Schrodinger system; Similarity reduction; Backlund transformation with analytic solutions
资金
- National Nature Science Foundation of China [11871116]
- Fundamental Research Funds for the Central Universities of China [2019XD-A11]
Recent progress in optical fibers has led to various applications in fields such as nonlinear Schrodinger-type models and symbolic computation. A study on a three-coupled variable-coefficient nonlinear Schrodinger system has provided valuable insights and analytical solutions for picosecond-pulse attenuation/amplification in multicomponent inhomogeneous optical fibers.
Recent progress in optical fibers is impressive, while nonlinear Schrodinger-type models are seen in fiber optics and other fields (such as ferromagnetism, plasma physics, Bose-Einstein condensation and oceanography). Hereby, our symbolic computation on a three-coupled variable-coefficient nonlinear Schrodinger system is performed, for the picosecond-pulse attenuation/amplification in a multicomponent inhomogeneous optical fiber with diverse polarizations/frequencies. For the slowly-varying envelopes of optical modes, we obtain a similarity reduction, an auto-Backlund transformation and some analytic solutions, which rely on the optical-fiber variable coefficients, i.e., the fiber loss/gain, nonlinearity and group velocity dispersion. Relevant variable-coefficient constraints are presented. Our results might be of some use in the construction of logic gates, optical computing, soliton switching, design of fiber directional couplers, quantum information processing, soliton amplification in the wavelength division multiplexing systems, solitonic studies in the all-optical devices and birefringence fiber systems. (C) 2021 Elsevier Ltd. All rights reserved.
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