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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 209, Number 1, Pages 46–58
DOI: https://doi.org/10.4213/tmf10095 (Mi tmf10095) 		 
Explicit breather solution of the nonlinear Schrödinger equation

R. Conteab

a Université Paris-Saclay, ENS Paris-Saclay, CNRS, Centre Borelli, Gif-sur-Yvette, France
b Department of Mathematics, The University of Hong Kong, Hong Kong
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DOI: https://doi.org/10.4213/tmf10095
Abstract: We present a one-line closed-form expression for the three-parameter breather of the nonlinear Schrödinger equation. This provides an analytic proof of the time period doubling observed in experiments. The experimental check that some pulses generated in optical fibers are indeed such generalized breathers will be drastically simplified.
Keywords: modulational instability, nonlinear Schrödinger equation, nonlinear optics, breather, exact solutions.
Funding agency Grant number
Centre international de rencontres mathématiques, Marseille 2311
This work was initiated at the Centre international de rencontres mathématiques, Marseille (grant 2311, year 2019), whose hospitality is gratefully acknowledged.
Received: 15.03.2021
Revised: 15.03.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 209, Issue 1, Pages 1357–1366
DOI: https://doi.org/10.1134/S0040577921100032
Bibliographic databases:
Document Type: Article
PACS: 02.30.Hq, 02.30.Jr, 03.75.Kk, 03.75.Lm, 42.65.J, 42.65.-k
Language: Russian
Citation: R. Conte, “Explicit breather solution of the nonlinear Schrödinger equation”, TMF, 209:1 (2021), 46–58; Theoret. and Math. Phys., 209:1 (2021), 1357–1366
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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