Nonlinear self-adjointness in constructing conservation laws
Nonlinear self-adjointness in constructing conservation laws
复制标题
DOI：
--
复制
发表时间：
2011-09
期刊：
影响因子：
--
通讯作者：
N. Ibragimov
中科院分区：
文献类型：
--
作者：
N. Ibragimov
引入了微分方程非线性自伴性的一般概念。它包括线性自伴性作为一种特殊情况。此外，它包含了以前的自伴和拟自伴非线性方程的概念。非线性自伴方程类特别包括所有线性方程。所有非线性自伴微分方程和系统都可以构造出与对称性有关的守恒律。系统中方程的数量可以与因变量的数量不同。
The general concept of nonlinear self-adjointness of differential equations is introduced. It includes the linear self-adjointness as a particular case. Moreover, it embraces the previous notions of self-adjoint and quasi self-adjoint nonlinear equations. The class of nonlinearly self-adjoint equations includes, in particular, all linear equations. Conservation laws associated with symmetries can be constructed for all nonlinearly self-adjoint differential equations and systems. The number of equations in systems can be different from the number of dependent variables.