论文标题
Null Lagrangians将军及其在古典动态中的新作用
General Null Lagrangians and Their Novel Role in Classical Dynamics
论文作者
论文摘要
为具有一种自由度的动态系统提供了一种构建一般零lagrangians及其较高谐波的方法。结果表明，这些Lagrangians可用于获得非标准的Lagrangians，这些拉格朗日人为惯性定律和某些耗散动力学系统提供了方程。提出了通过使用零拉格朗日来得出运动方程的必要条件，并且证明这种情况对Null Lagrangians与Euler-Lagrange方程相同，对标准和非标准的Lagrangians起着相同的作用。获得的结果及其应用确定了无效的Lagrangians在经典动态中的新作用。
A method for constructing general null Lagrangians and their higher harmonics is presented for dynamical systems with one degree of freedom. It is shown that these Lagrangians can be used to obtain non-standard Lagrangians, which give equations of motion for the law of inertia and some dissipative dynamical systems. The necessary condition for deriving equations of motion by using null Lagrangians is presented, and it is demonstrated that this condition plays the same role for null Lagrangians as the Euler-Lagrange equation plays for standard and non-standard Lagrangians. The obtained results and their applications establish a novel role of null Lagrangians in classical dynamics.
