Stability of standing waves for a generalized Benney-Roskes system

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2023-05-02 DOI:10.1090/qam/1654

Jose R. Quintero

引用次数: 0

Abstract

We analyze the orbital stability of standing waves for a generalized Benney-Roskes system in spatial dimensions N = 2 N=2 , 3 3 . We establish stability of standing waves under certain conditions by reducing the system to a single nonlinear (nonlocal) Schrödinger equation, using the variational characterization of standing waves and a convexity argument.

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广义Benney-Roskes系统驻波稳定性

我们分析了广义Benney-Roskes系统在空间维度N=2N=2,33上驻波的轨道稳定性。我们利用驻波的变分特征和凸性论证，将系统简化为一个非线性（非局部）薛定谔方程，从而在一定条件下建立驻波的稳定性。

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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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.