色散管理NLS的大规模限制

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-10-09 DOI:10.1016/j.jde.2025.113830

Jason Murphy

引用次数: 0

摘要

我们以二维散焦三次方程为例，推导出标准功率型NLS作为Gabitov-Turitsyn色散管理NLS的标度极限。特别是，对于任意l2范数的大尺度数据，我们得到了色散管理NLS的全局实时散射解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Large scale limit for a dispersion-managed NLS

We derive the standard power-type NLS as a scaling limit of the Gabitov–Turitsyn dispersion-managed NLS, using the 2d defocusing, cubic equation as a model case. In particular, we obtain global-in-time scattering solutions to the dispersion-managed NLS for large scale data of arbitrary

L^{2}

-norm.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics