关于一维本尼-罗斯克思系统驻波的好拟性和稳定性分析

Pub Date : 2024-07-10 DOI:10.5556/j.tkjm.56.2025.5268

Jose Raul Quintero Henao

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引用次数: 0

摘要

在本文中，我们重新探讨了 N = 1、2、3 的 Benney-Roskes 系统（也称为 Zakharov-Rubenchik 系统）的好求解性，并利用哈密顿结构和 Liapunov 方法诱导的变分法，建立了 N = 1 情况下基态驻波的非线性轨道稳定性。

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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On the well-posedness and stability analysis of standing waves for a 1D-Benney-Roskes system

In this paper, we revisit the well-posedness for the Benney-Roskes system (also known as Zakharov-Rubenchik systems) for N = 1, 2, 3, and establish the nonlinear orbital stability of ground state standing waves in the case N = 1, by using the variational approach induced by the Hamiltonian structure and the Liapunov method.

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