Quasi self-adjoint nonlinear wave equations
Quasi self-adjoint nonlinear wave equations
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DOI：
10.1088/1751-8113/43/44/442001
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发表时间：
2010-11
期刊：
影响因子：
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通讯作者：
N. Ibragimov;M. Torrisi;R. Tracinà
中科院分区：
文献类型：
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作者：
N. Ibragimov;M. Torrisi;R. Tracinà
本文将自伴二阶线性偏微分方程的分类推广到一族具有两个自变量的非线性波动方程。我们发现了一类拟自伴非线性方程，它包含了自伴线性方程作为特例。微分方程准自伴的性质是很重要的，例如对于构造与微分方程的对称性有关的守恒律。
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.