Geodesic
Explicit breather solution of the~nonlinear Schr\"odinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 209 (2021) no. 1, pp. 46-58

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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
Mots-clés : exact solutions. 
@article{TMF_2021_209_1_a2,
     author = {R. Conte},
     title = {Explicit breather solution of the~nonlinear {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {46--58},
     publisher = {mathdoc},
     volume = {209},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_209_1_a2/}
}
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R. Conte. Explicit breather solution of the~nonlinear Schr\"odinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 209 (2021) no. 1, pp. 46-58. http://geodesic.mathdoc.fr/item/TMF_2021_209_1_a2/