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

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

2000-12-11

arxiv.org/abs/nlin/0012025v3

Phys.Lett.A285:150-156,2001

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, LaTeX

Scientific paper

10.1016/S0375-9601(01)00347-4

Nonlinear Schr\"odinger 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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