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Long-Time Asymptotics for the integrable discrete nonlinear Schr\"odinger equation: The Focusing Case
Preprint
2015-12-06
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Abstract
We investigate the long-time asymptotics for the focusing integrable discrete nonlinear Schr\"odinger equation by using the nonlinear steepest descent method. The leading term is a multi-soliton. The phase shift is influenced by the reflection coefficient.