电报方程的守恒量

Conserved Quantities of Telegraph Equation

  • 摘要: 尝试直接从微分方程出发寻找系统守恒量 .将微分方程线性化 ,求得线性化方程的伴随方程 .伴随方程的解若同时满足伴随不变条件就可以由之构造出系统的守恒量 .该方法不需要系统的 L agrange函数 ,以电报方程为例加以说明

     

    Abstract: Attempt was made at constructing conserved quantity derived from differential equations of a system. The differential equations were linearized and their adjoint equations were found. Conserved quantity of the system can be constructed through the adjoint equations' solutions which satisfy adjoint invariance condition. Lagrangian function of the system was not necessary in this method. Telegraph equation was taken as an example to illustrate the application of this skill.

     

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