Nonlinear Fourier Transform for Analysis of Coherent Structures in Dissipative Systems

被引：45
|
作者：
Chekhovskoy, I. S. [1 ,2 ]
Shtyrina, O., V [1 ,2 ]
Fedoruk, M. P. [1 ,2 ]
Medvedev, S. B. [1 ,2 ]
Turitsyn, S. K. [1 ,3 ]
机构：
[1] Novosibirsk State Univ, Novosibirsk 630090, Russia
[2] SB RAS, Inst Computat Technol, Novosibirsk 630090, Russia
[3] Aston Univ, Aston Inst Photon Technol, Birmingham B4 7ET, W Midlands, England
来源：
PHYSICAL REVIEW LETTERS | 2019年 / 122卷 / 15期
基金：
俄罗斯科学基金会;
关键词：
SCATTERING TRANSFORM; COMPUTATION; SOLITON;
D O I：
10.1103/PhysRevLett.122.153901
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Using the cubic Ginzburg-Landau equation as an example, we demonstrate how the inverse scattering transform can be applied to characterize coherent structures in dissipative nonlinear systems. Using this approach one can reduce the number of the effective degrees of freedom in the system when the dynamic is dominated by the coherent structures, even if they are embedded in the dispersive waves and demonstrate unstable behavior.
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页数：5
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