Efficient numerical method for linear stability analysis of solitary waves

Alexandrescu A.; Salgueiro J.R.

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Efficient numerical method for linear stability analysis of solitary waves

机译：孤立波线线性稳定性分析的高效数值方法

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摘要

In this paper we use a numerical relaxation algorithm to improve and generalize the obtainment of the perturbation eigenstates of nonlinear systems. As a model problem we consider the linear stability analysis of the vortex eigenstates of the cubic-quintic nonlinear Schr?dinger equation. It is shown by numerical calculations that the relaxation algorithm permits accurate tracing of complex perturbation eigenvalues.

机译：在本文中，我们使用数值松弛算法来改善和推广非线性系统的扰动扰动。作为模型问题，我们考虑立方 - QUINTIC非线性SCHR的涡旋特征的线性稳定性分析。通过数值计算示出，即放松算法允许精确跟踪复杂的扰动特征值。

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《Computer physics communications》 |2011年第12期|共7页
作者
Alexandrescu A.; Salgueiro J.R.;
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作者单位

Avda. del Mediterraneo 16 7D Derecha Madrid 28007 Spain;

área de óptica Departamento de Física Aplicada Universidade de Vigo As Lagoas s/n Ourense 32004 Spain;

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正文语种 eng
中图分类计算机的应用;
关键词
Complex eigenvalues; Linear stability; Nonlinear waves; Relaxation algorithm;

机译：复杂的特征值;线性稳定性;非线性波;松弛算法;

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1. Efficient numerical method for linear stability analysis of solitary waves [J] . Alexandrescu A., Salgueiro J.R. Computer physics communications . 2011,第12期

机译：孤立波线线性稳定性分析的高效数值方法
2. Transverse instability of surface solitary waves. Part 2. Numerical linear stability analysis [J] . Kataoka T. Journal of Fluid Mechanics . 2010,第Null期

机译：表面孤立波的横向不稳定性。第2部分。数值线性稳定性分析
3. Numerical solutions and stability analysis for solitary waves of complex modified Korteweg-de Vries equation using Chebyshev pseudospectral methods [J] . Mittal Avinash K., Balyan Lokendra K. Numerical Methods for Partial Differential Equations: An International Journal . 2020,第6期

机译：Chebyshev Pseudtepectran方法复合改性Korteweg-de Vries方程孤立波的数值解及稳定性分析
4. Numerical stability analysis of solitary waves in one-and two-dimensional periodic structures [C] . A. Savickas, E. Gaizauskas, K. Staliunas European Optical Society annual meeting . 2012

机译：一维和二维周期结构中孤立波的数值稳定性分析
5. Studies on instability of solitary waves for nonlinear Schr?dinger equations [D] . 深谷　法良 2019

机译：非线性薛定er方程孤波不稳定性的研究
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机译：血液组织交换单元中非线性促进运输和交换的有效数值方法
7. Efficient numerical methods for global linear instability. Analysis and modeling of non-orthogonal swept attachment-line boundary layer flow [O] . Pérez Pérez José Miguel 2012

机译：整体线性不稳定性的有效数值方法。非正交后掠附着线边界层流动的分析与建模

Efficient numerical method for linear stability analysis of solitary waves

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