On the hyperbolic nonlinear Schrödinger equations

被引：0

作者：

Saut, Jean-Claude ^{[1
]}

Wang, Yuexun ^{[2
]}

机构：

[1] Univ Paris Saclay, CNRS, Lab Math Orsay, F-91405 Orsay, France

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2024年 / 2024卷 / 01期

关键词：

Hyperbolic nonlinear Schr & ouml; dinger equations; Cauchy problem; Global existence; LINEAR SCHRODINGER-EQUATION; GLOBAL WELL-POSEDNESS; TRANSVERSE INSTABILITIES; SOLITONS; LIGHT; WAVES; COLLAPSE; PACKETS; PHYSICS; MEDIA;

D O I：

10.1186/s13662-024-03811-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here, we consider here Hyperbolic Nonlinear Schr & ouml;dinger Equations (HNLS) that occur as asymptotic models in the modulational regime when the Hessian of the dispersion relation is not positive (or negative) definite. We review classical examples, well-known results, and main open questions.

引用

页数：12

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