Lie Symmetry Analysis of Burgers Equation and the Euler Equation on a Time Scale

被引：5

作者：

Liu, Mingshuo ^{[1
]}

Dong, Huanhe ^{[1
]}

Fang, Yong ^{[1
]}

Zhang, Yong ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

SYMMETRY-BASEL | 2020年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

lie symmetry analysis; time scale; Burgers equation; Euler equation with Coriolis force; traffic flow; group invariant solution; BOUNDARY-VALUE-PROBLEMS; DYNAMIC EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE; BOUNDEDNESS; REDUCTIONS; UNIQUENESS; SYSTEMS;

D O I：

10.3390/sym12010010

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：

As a powerful tool that can be used to solve both continuous and discrete equations, the Lie symmetry analysis of dynamical systems on a time scale is investigated. Applying the method to the Burgers equation and Euler equation, we get the symmetry of the equation and single parameter groups on a time scale. Some group invariant solutions in explicit form for the traffic flow model simulated by a Burgers equation and Euler equation with a Coriolis force on a time scale are studied.

引用

页数：15

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