摘要
以我们部分 Lagrangian 和近似 Euler-Lagrange-type 方程的新准确定义,我们与经由与部分 Lagrangians 联系的近似 Noether 类型对称操作员抑制调查非线性的波浪方程并且在一般形式构造它的近似能量守恒定律。
In terms of our new exact definition of partial Lagrangian and approximate Euler-Lagrange-type equation, we investigate the nonlinear wave equation with damping via approximate Noether-type symmetry operators associated with partial Lagrangians and construct its approximate conservation laws in general form.
基金
Supported by the National Natural Science Foundation of China under Grant No.10671156
the Natural Science Foundation of Shaanxi Province of China under Grant No.SJ08A05