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

A. A. Kapaev; V. E. Korepin

doi:10.1016/S0375-9601(01)00347-4

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

A. A. Kapaev
, V. E. Korepin

Institute for Theoretical Physics

Stony Brook University

Steklov Mathematical Institute

Research output: Contribution to journal › Article › peer-review

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 = O(1), t → ∞, can be represented as a double series in t^-1 and Int. Our current purpose is the description of the asymptotics of the coefficients of the series.

Original language	English
Pages (from-to)	150-156
Number of pages	7
Journal	Physics Letters A
Volume	285
Issue number	3-4
DOIs	https://doi.org/10.1016/S0375-9601(01)00347-4
State	Published - Jul 2 2001

Keywords

Asymptotic expansion
Integrable PDE
Long time asymptotics

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10.1016/S0375-9601(01)00347-4

Cite this

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title = "On the asymptotic expansion of the solutions of the separated nonlinear schr{\"o}dinger equation",

abstract = "Nonlinear Schr{\"o}dinger 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 = O(1), t → ∞, can be represented as a double series in t-1 and Int. Our current purpose is the description of the asymptotics of the coefficients of the series.",

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AU - Korepin, V. E.

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N2 - 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 = O(1), t → ∞, can be represented as a double series in t-1 and Int. Our current purpose is the description of the asymptotics of the coefficients of the series.

AB - 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 = O(1), t → ∞, can be represented as a double series in t-1 and Int. Our current purpose is the description of the asymptotics of the coefficients of the series.

KW - Asymptotic expansion

KW - Integrable PDE

KW - Long time asymptotics

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DO - 10.1016/S0375-9601(01)00347-4

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EP - 156

JO - Physics Letters A

JF - Physics Letters A

IS - 3-4

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

Abstract

Keywords

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