<Emphasis Type="Italic">N</Emphasis>-soliton train and generalized complex Toda chain for the Manakov system |
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Authors: | V S Gerdjikov E V Doktorov N P Matsuka |
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Institution: | (1) Institute for Nuclear Research and Nuclear Energy, 1784 Sofia, Bulgaria;(2) Stepanov Institute of Physics, 220072 Minsk, Belarus;(3) Institute of Mathematics, National Academy of Sciences of Belarus, 220072 Minsk, Belarus |
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Abstract: | We analyze the dynamical behavior of the N-soliton train of the Manakov system and of the vector NLS equation in the adiabatic
approximation. We prove that the dynamics of the N-soliton train in both cases are described by a generalized version of the
complex Toda chain model. This fact can be used to predict the asymptotic regimes of the N-soliton train provided the initial
soliton parameters are given.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 151, No. 3, pp. 391–404, June, 2007. |
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Keywords: | complex Toda chain Manakov model adiabatic dynamics vector soliton train |
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