Lie Group Analysis and Analytic Method for Symmetries and Exact Solutions to the Nonlinear VK System

The nonlinear Von Kármán (VK) system plays a significant role in mechanics, nonlinear dynamics and physical applications. In the present paper, we develop the combination of Lie group analysis and analytic method for dealing with exact solutions to the nonlinear VK system, all of the point symmetries of the system are obtained, the symmetry transformations and exact solutions of the VK system are investigated. Especially, some new types of solutions are presented, including the traveling wave solutions and analytic solutions. This paper can be regarded as a sequel of Ref. [1], but their research methods and results are completely different.