A symmetry classification algorithm of the generalized differential-difference equations

被引：1
|
作者：
Ye, Cai-Er [1 ]
Huang, Qing [2 ]
Shen, Shoufeng [3 ]
Jin, Yongyang [3 ]
机构：
[1] Zhejiang A&F Univ, Coll Sci, Linan 311300, Peoples R China
[2] Northwest Univ, Sch Math, Xian 710069, Shaanxi, Peoples R China
[3] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 74卷
基金：
中国国家自然科学基金;
关键词：
Intrinsic Lie point symmetry; Differential-difference equation; Allowed transformation; Toda lattice; LIE SYMMETRIES;
D O I：
10.1016/j.aml.2017.04.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this letter, a symmetry classification algorithm of the generalized differential difference equations (sic)(n) = F-n (t, u(n-1), u(n), u(n+1), (u) over dot(n-1), (u) over dot(n+1)) is proposed according to the intrinsic Lie point symmetries, allowed transformations and Lie algebraic structures. The validity of this approach is demonstrated by a Toda-type lattice. (C) 2017 Elsevier Ltd. All rights reserved.
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页码：27 / 32
页数：6
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