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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2014, Volume 99, Issue 10, Pages 664–668 DOI: https://doi.org/10.7868/S0370274X1410004X
(Mi jetpl3738)
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This article is cited in 5 scientific papers (total in 5 papers)
METHODS OF THEORETICAL PHYSICS
Probability of breaking of the $\mathcal{PT}$ symmetry at collision between breathers with random phases in the model of a $\mathcal{PT}$ symmetric planar coupler
L. Kh. Rysaevaa, S. V. Suchkovbc, S. V. Dmitrievcd a Bashkir State University, Ufa
b Australian National University
c Institute for Metals Superplasticity Problems of RAS, Ufa
d Saint Petersburg State University
DOI:
https://doi.org/10.7868/S0370274X1410004X
Abstract:
The interaction between breathers has been studied in the model of a nonlinear plane $\mathcal{PT}$-symmetric coupler. It has been shown that the dynamics of the interaction depends significantly on the relative phase of the breathers. The probability of breaking of the $\mathcal{PT}$ symmetry in the collision of breathers having random initial phases has been estimated for various sets of parameters of the model and breathers. Various scenarios of collision of breathers have been described.
Received: 21.04.2014
Citation:
L. Kh. Rysaeva, S. V. Suchkov, S. V. Dmitriev, “Probability of breaking of the $\mathcal{PT}$ symmetry at collision between breathers with random phases in the model of a $\mathcal{PT}$ symmetric planar coupler”, Pis'ma v Zh. Èksper. Teoret. Fiz., 99:10 (2014), 664–668; JETP Letters, 99:10 (2014), 577–580
Linking options:
https://www.mathnet.ru/eng/jetpl3738 https://www.mathnet.ru/eng/jetpl/v99/i10/p664
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