Variational principle for singular waves

被引：29
|
作者：
He, Chun-Hui [1 ]
Liu, Chao [1 ,2 ]
机构：
[1] Xian Univ Architecture & Technol, Sch Civil Engn, Xian, Peoples R China
[2] Xian Univ Architecture & Technol, Sch Sci, Xian, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2023年 / 172卷
基金：
中国国家自然科学基金;
关键词：
Variational principle; Semi -inverse method; Euler-Lagrange equation; Rogue wave; OPTICAL SOLITON PERTURBATION; EQUATIONS;
D O I：
10.1016/j.chaos.2023.113566
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A variational formulation is extremely difficult to be established for a strongly nonlinear problem, and it is almost impossible for a singular differential equation without linear terms. This paper gives a universal approach to the establishment of a variational formulation of a singular travelling wave by the semi-inverse method. The basic properties of rogue waves are elucidated in an energy frame, and a Hamilton-like conversation law is proposed, which can be used for numerical treatment at the singular point.
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收藏
页数：5
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