Global Analytic Solutions for the Nonlinear Schrödinger Equation

We prove the existence of global analytic solutions to the nonlinear Schr\"odinger equation in one dimension for a certain type of analytic initial data in \(L^2\).

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Bibliographic Details
Published in:arXiv.org 2019-08
Main Authors: Oliveira da Silva, Daniel, Biyar, Magzhan
Format: Article
Language:English
Subjects:
Exact solutions
Mathematical analysis
Schrodinger equation
Online Access:Get full text
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Description
Summary:We prove the existence of global analytic solutions to the nonlinear Schr\"odinger equation in one dimension for a certain type of analytic initial data in \(L^2\).
ISSN:2331-8422