ON NONLOCAL SYMMETRIES GENERATED BY RECURSION OPERATORS: SECOND-ORDER EVOLUTION EQUATIONS

被引：1

作者：

Euler, M. ^{[1
]}

Euler, N. ^{[1
]}

Nucci, M. C. ^{[2
]}

机构：

[1] Lulea Univ Technol, Dept Engn Sci & Math, Div Math, SE-97187 Lulea, Sweden

[2] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2017年 / 37卷 / 08期

关键词：

Nonlocal symmetries; recursion operators; evolution equations; CONSERVATION-LAWS;

D O I：

10.3934/dcds.2017181

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new type of recursion operator suitable to generate a class of nonlocal symmetries for those second-order evolution equations in 1+1 dimension which allow the complete integration of their time-independent versions. We show that this class of evolution equations is C-integrable (linearizable by a point transformation). We also discuss some applications.

引用

页码：4239 / 4247

页数：9

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