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

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 $x/t=\mathcal{O}(1)$, $t\to \infty$, 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.

11 pages, LaTeX

References in corpus (3)

• Time and temperature dependent correlation functions of the 1D impenetrable electron gas
• Correlations in the impenetrable electron gas
• Universal correlations of one-dimensional interacting electrons in the gas phase