On the spectral stability of periodic waves of the dispersive systems of modified KdV equations

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2024-11-04 DOI:10.1016/j.nonrwa.2024.104250

Sevdzhan Hakkaev , Kadir Şamdanlı

引用次数: 0

Abstract

This paper concerns the stability of periodic traveling waves of cnoidal type for the nonlinear dispersive systems. The main objective of the paper is to study their stability with respect to co-periodic perturbations.

查看原文本刊更多论文

论修正 KdV 方程分散系统周期波的频谱稳定性

本文涉及非线性色散系统的周期行波的稳定性。本文的主要目的是研究它们在共周期扰动下的稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.