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- W187856225 abstract "The problem of complete description of nonlinear states for NLS-type equations with periodic potential is considered. We show that in some cases all nonlinear states for equations of such kind can be coded by bi-infinite sequences of symbols of N-symbol alphabet (words). Sufficient conditions for one-to-one correspondence between the set of nonlinear states and the set of these bi-infinite words are given in the form convenient for numerical verification (Hypotheses 1–3). We report on numerical check of these hypotheses for the case of Gross-Pitaevskii equation with cosine potential and indicate regions in the space of governing parameters where this coding is possible." @default.
- W187856225 created "2016-06-24" @default.
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- W187856225 date "2013-10-21" @default.
- W187856225 modified "2023-09-26" @default.
- W187856225 title "Coding of Nonlinear States for NLS-Type Equations with Periodic Potential" @default.
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- W187856225 doi "https://doi.org/10.1007/978-3-319-02057-0_2" @default.
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