ON THE RECURSION OPERATOR FOR THE NONCOMMUTATIVE BURGERS HIERARCHY

被引：8

作者：

Carillo, Sandra ^{[1
]}

Schiebold, Cornelia ^{[2
]}

机构：

[1] SAPIENZA Univ Roma, Sez Matemat, Dipartimento Sci Base & Applicate Ingn, Rome, Italy

[2] Mid Sweden Univ, Dept Nat Sci Engn & Math, S-85170 Sundsvall, Sweden

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2012年 / 19卷 / 01期

关键词：

Burgers equation; noncommutativity; recursion operators; Backlund transformations; hereditariness; EVOLUTION-EQUATIONS;

D O I：

10.1142/S1402925112500039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The noncommutative Burgers recursion operator is constructed via the Cole-Hopf transformation, and its structural properties are studied. In particular, a direct proof of its hereditary property is given.

引用

页码：27 / 37

页数：11

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