V. A. Vyslouh, I. V. Cherednik, “On restricted $N$-soliton solutions of the nonlinear Schrödinger equation”, TMF, 71:1 (1987), 13–20; Theoret. and Math. Phys., 71:1 (1987), 346

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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 71, Number 1, Pages 13–20 (Mi tmf4852)

This article is cited in 12 scientific papers (total in 12 papers)

On restricted

$N$ -soliton solutions of the nonlinear Schrödinger equation

V. A. Vyslouh, I. V. Cherednik

Full-text PDF (776 kB) Citations (12)

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Abstract: Many-soliton component is investigated for the solutions of nonlinear Schrödinger equation obtained from

$N$ -soliton (in particular, one-soliton) solutions by means of restricting the support (in

$x$ ) of the initial (at

$t=0$ ) function to an arbitrary finite semi-infinite interval.

Received: 29.11.1985

English version:
Theoretical and Mathematical Physics, 1987, Volume 71, Issue 1, Pages 346–351
DOI: https://doi.org/10.1007/BF01029093

Bibliographic databases:

Language: Russian

Citation: V. A. Vyslouh, I. V. Cherednik, “On restricted

$N$ -soliton solutions of the nonlinear Schrödinger equation”, TMF, 71:1 (1987), 13–20; Theoret. and Math. Phys., 71:1 (1987), 346–351

Citation in format AMSBIB

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\paper On restricted $N$-soliton solutions of the nonlinear Schr\"odinger equation

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\yr 1987

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\pages 13--20

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\transl

\jour Theoret. and Math. Phys.

\yr 1987

\vol 71

\issue 1

\pages 346--351

\crossref{https://doi.org/10.1007/BF01029093}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987K689200002}

Linking options:

https://www.mathnet.ru/eng/tmf4852

https://www.mathnet.ru/eng/tmf/v71/i1/p13

This publication is cited in the following 12 articles:

Andrey Konyukhov, “Management of the discrete eigenvalues of the nonlinear Schrödinger equation using periodic dispersion perturbation”, Chaos, Solitons & Fractals, 178 (2024), 114391
A I Konyukhov, P A Mavrin, “Chirped soliton fission and fusion in dispersion oscillating fibers”, Laser Phys., 33:1 (2023), 015401
A. I. Konyukhov, “Preobrazovanie sobstvennykh znachenii zadachi Zakharova-Shabata pri stolknovenii solitonov”, Izv. Sarat. un-ta. Nov. cer. Ser. Fizika, 20:4 (2020), 248–257
Alexey A. Sysoliatin, Andrew Konukhov, Liang Dong, Michalis N. Zervas, Fiber Lasers XVII: Technology and Systems, 2020, 79
Alexey A Sysoliatin, Konstantin S Gochelashvili, Andrey I Konyukhov, Leonid A Melnikov, Vladimir A Stasyuk, “All-optical fiber soliton processing using dispersion oscillating fiber”, Laser Phys. Lett., 17:6 (2020), 065105
Andrey I Konyukhov, Alexej A Sysoliatin, “Generation of high-intensity optical breathers via soliton collision in fibres with variable dispersion”, Laser Phys., 30:1 (2020), 015401
A. S. Plastun, A. I. Konyukhov, L. A. Melnikov, S. A. Zarkov, “Neuprugie vzaimodeistviya opticheskikh solitonov v ramkakh modeli nelineinogo uravneniya Shredingera s peremennymi koeffitsientami”, Izv. Sarat. un-ta. Nov. cer. Ser. Fizika, 16:2 (2016), 81–86
Yaroslav V. Kartashov, Victor A. Vysloukh, Lluis Torner, “Asymmetric soliton mobility in competing linear–nonlinear parity-time-symmetric lattices”, Opt. Lett., 41:18 (2016), 4348
Quantum Electron., 45:11 (2015), 1018–1022
Victor Aleshkevich, Yaroslav Kartashov, Victor Vysloukh, “On the possibility of suppression of the self-frequency shift of the cnoidal waves in the medium with delayed nonlinear response by bandwidth-limited amplification”, Optics Communications, 190:1-6 (2001), 373
I. M. Uzunov, V. D. Stoev, T. I. Tzoleva, “N-soliton interaction in trains of unequal soliton pulses in optical fibers”, Opt. Lett., 17:20 (1992), 1417
V. A. Vyslouh, I. V. Cherednik, “Many-soliton components of solutions of nonlinear Schrödinger equation with perturbing term”, Theoret. and Math. Phys., 78:1 (1989), 24–31

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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