Quasi self-adjoint nonlinear wave equations

被引：30

作者：

Ibragimov, N. H. ^{[1
]}

Torrisi, M. ^{[2
]}

Tracina, R. ^{[2
]}

机构：

[1] Blekinge Inst Technol, Dept Math & Sci, SE-37179 Karlskrona, Sweden

[2] Univ Catania, Dipartimento Matemat & Informat, I-95124 Catania, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 44期

关键词：

D O I：

10.1088/1751-8113/43/44/442001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we generalize the classification of self-adjoint second-order linear partial differential equation to a family of nonlinear wave equations with two independent variables. We find a class of quasi self-adjoint nonlinear equations which includes the self-adjoint linear equations as a particular case. The property of a differential equation to be quasi self-adjoint is important, e. g. for constructing conservation laws associated with symmetries of the differential equation.

引用

页数：8

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