V. A. Makarov, V. M. Petnikova, “Practical application of the adiabatic approximation and its simplified version for solving a nonintegrable system of nonlinear Schrödinger equations”, Kvantovaya Elektronika, 47:11 (2017), 1009–1011 [Quantum Electron., 47:11 (2017), 1009

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Kvantovaya Elektronika, 2017, Volume 47, Number 11, Pages 1009–1011 (Mi qe16711)

Nonlinear optical phenomena

Practical application of the adiabatic approximation and its simplified version for solving a nonintegrable system of nonlinear Schrödinger equations

V. A. Makarov^ab, V. M. Petnikova^a

^a Lomonosov Moscow State University, Faculty of Physics
^b International Laser Center of Moscow State University

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Abstract: Using the example of the interaction of two cnoidal waves with essentially different periods, we compare the results of the application of the adiabatic approximation and its simplified version in the process of solving a nonintegrable system of nonlinear Schrödinger equations. The time boundary of the region of applicability of the simplified adiabatic-approximation version is estimated.

Keywords: cubic nonlinearity, gyrotropy, dispersion, cnoidal waves, adiabatic interaction, amplitude and frequency modulation.

Received: 03.06.2017
Revised: 03.08.2017

English version:
Quantum Electronics, 2017, Volume 47, Issue 11, Pages 1009–1011
DOI: https://doi.org/10.1070/QEL16446

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Document Type: Article

Language: Russian

Citation: V. A. Makarov, V. M. Petnikova, “Practical application of the adiabatic approximation and its simplified version for solving a nonintegrable system of nonlinear Schrödinger equations”, Kvantovaya Elektronika, 47:11 (2017), 1009–1011 [Quantum Electron., 47:11 (2017), 1009–1011]

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https://www.mathnet.ru/eng/qe/v47/i11/p1009

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

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Full-text PDF :	76
References:	36
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