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- W2189916202 abstract "We investigate the long-time asymptotics for the focusing integrable discrete nonlinear Schrodinger equation. Under generic assumptions on the initial value, the solution is asymptotically a sum of 1-solitons. We find different phase shift formulas in different regions. Along rays away from solitons, the behavior of the solution is decaying oscillation. This is one way of stating the soliton resolution conjecture. The proof is based on the nonlinear steepest descent method." @default.
- W2189916202 created "2016-06-24" @default.
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- W2189916202 date "2015-12-06" @default.
- W2189916202 modified "2023-09-27" @default.
- W2189916202 title "Long-Time Asymptotics for the integrable discrete nonlinear Schrodinger equation: The Focusing Case" @default.
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- W2189916202 doi "https://doi.org/10.48550/arxiv.1512.01760" @default.
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