Symmetries of the discrete Burgers equation

被引：30

作者：

Heredero, RH ^{[1
]}

Levi, D

Winternitz, P

机构：

[1] Univ Complutense Madrid, Fac Ciencias Fis, Dept Fis Teor 2, E-28040 Madrid, Spain

[2] Univ Rome, Dipartimento Fis Eduardo Amaldi, I-00146 Rome, Italy

[3] Ist Nazl Fis Nucl, I-00146 Rome, Italy

[4] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 14期

关键词：

D O I：

10.1088/0305-4470/32/14/009

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A discrete Cole-Hopf transformation is used to derive a discrete Burgers equation that is linearizable to a discrete heat equation. A five-dimensional symmetry algebra is obtained that reduces to the Lie point symmetry algebra of the usual Burgers equation, in the continuous limit. This Lie algebra is used to obtain explicit invariant solutions.

引用

页码：2685 / 2695

页数：11

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