Korteweg–de Vries方程
孤子
振幅
可积系统
物理
峰度
偏斜
湍流
脉冲(物理)
耗散孤子
非线性系统
量子电动力学
数学物理
经典力学
数学
量子力学
机械
统计
作者
Efim Pelinovsky,Ekaterina Shurgalina
出处
期刊:Nonlinear systems and complexity
日期:2017-01-01
卷期号:: 295-306
被引量:8
标识
DOI:10.1007/978-3-319-53673-6_18
摘要
The collective behavior of soliton ensemble corresponded to soliton turbulence is studied within the integrable Korteweg–de Vries (KdV) equation. Two-soliton interactions play a definitive role in the formation of the structure of soliton turbulence in integrable systems. The amplitude of the resulted impulse decreases during the nonlinear interaction. It leads to the changing of characteristics of whole multi-soliton field. Numerical simulation of soliton ensemble within the KdV equation is performed. Statistical moments of wave fields and distribution functions of wave amplitudes are found and analyzed. Skewness and kurtosis decrease due to soliton interaction. The criterion of “small” soliton’s negative velocity in soliton gas is obtained.
科研通智能强力驱动
Strongly Powered by AbleSci AI