The simple method for constructing the generalized Tzénoff function and solving the holonomic system conserved quantities

Zheng Shiwan · Journal of Shangqiu Normal University · 2014

To research the kinetic properties by using the Tzenoff equations,the system Tzenoff function must be gotten firstly.But it is difficult to construct the Tzenoff function of an actual kinetic system.So in this paper,we give a method of constructing generalized Tzenoff function by combining the actual kinetic system and find that the generalized acceleration can be obtained directly by using the such higher-order generalized Tzenoff function.At last,the definition of the Lie symmetry of the generalized Tzenoff function is provided and the simple method of solving the conserved quantities is obtained.

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