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On the asymptotic expansion of the solutions of the separated nonlinear Schroedinger equation

A. A. Kapaev·V. E. Korepin
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Abstract

Nonlinear Schrödinger equation (with the Schwarzian initial data) is important in nonlinear optics, Bose condensation and in the theory of strongly correlated electrons. The asymptotic solutions in the region $x/t={\cal O}(1)$, $t\to\infty$, can be represented as a double series in $t^{-1}$ and $\ln t$. Our current purpose is the description of the asymptotics of the coefficients of the series.

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A. A. Kapaev, V. E. Korepin. 2001-05-10. On the asymptotic expansion of the solutions of the separated nonlinear Schroedinger equation. https://doi.org/10.1016/s0375-9601(01)00347-4

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