Journal
APPLIED MATHEMATICS LETTERS
Volume 133, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2022.108280
Keywords
Opticalfiber; Extended(3+1)-dimensional; nonlinearSchr?dingerequation; Auto-B?cklundtransformations; Laxpair; Bilinearforms; Brightsolitonsolutions
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Funding
- National Natural Science Foundation of China [11772017, 11272023, 11805020]
- Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications) , China [IPOC: 2017ZZ05]
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
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In this Letter, we investigate an extended (3+1)-dimensional nonlinear Schrodinger equation in an optical fiber. The auto-Backlund transformations and a Lax pair are obtained under certain optical-fiber coefficient constraints. Bilinear forms, bright two-soliton, and bright three-soliton solutions are derived using the Hirota method under certain optical-fiber coefficient constraints.
In this Letter, we investigate an extended (3+1)-dimensional nonlinear Schrodinger equation in an optical fiber. Via the truncated Laurent expansions, auto-Backlund transformations are obtained. According to the Ablowitz-Kaup-Newell-Segur procedure, we derive a Lax pair under certain optical-fiber coefficient constraints. Via the Hirota method, we obtain some bilinear forms, bright two-soliton and bright three-soliton solutions under certain optical-fiber coefficient constraints. (c) 2022 Elsevier Ltd. All rights reserved.
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