Lie Symmetries and Conservation Laws of Fokas-Lenells Equation and Two Coupled Fokas-Lenells Equations by the Symmetry/Adjoint Symmetry Pair Method

被引：5
|
作者：
Zhang, Lihua [1 ]
Wang, Gangwei [1 ]
Zhao, Qianqian [1 ]
Wang, Lingshu [1 ]
机构：
[1] Hebei Univ Econ & Business, Sch Math & Stat, Shijiazhuang 050061, Hebei, Peoples R China
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Fokas-Lenells equation; symmetries; adjoint symmetries; conservation laws; multiplier; the SA method; multi-component; SOLITON-SOLUTIONS; WAVE SOLUTIONS; ROGUE WAVE; ASYMPTOTICS; SYSTEM;
D O I：
10.3390/sym14020238
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The Fokas-Lenells equation and its multi-component coupled forms have attracted the attention of many mathematical physicists. The Fokas-Lenells equation and two coupled Fokas-Lenells equations are investigated from the perspective of Lie symmetries and conservation laws. The three systems have been turned into real multi-component coupled systems by appropriate transformations. By procedures of symmetry analysis, Lie symmetries of the three real systems are obtained. Explicit conservation laws are constructed using the symmetry/adjoint symmetry pair method, which depends on Lie symmetries and adjoint symmetries. The relationships between the multiplier and the adjoint symmetry are investigated.
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收藏
页数：11
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