Leung, Andrew Yee TakAndrew Yee TakLeungXu, X.-S.Gu, Q.Zheng, J.-J.2022-03-232022-03-232005https://repository.sfu.edu.hk/handle/sfu/2670This paper reports establishment of a symplectic system and introduces a 3D sub-symplectic structure for transversely isotropic piezoelectric media. A complete space of eigensolutions is obtained directly. Thus all solutions of the problem are reduced to finding eigenvalues and eigensolutions, which include zero-eigenvalue solutions and all their Jordan normal form of the corresponding Hamiltonian matrix and non-zero-eigenvalue solution. The classical solutions are described by zero-eigen-solutions and non-zero-eigensolutions show localized solutions. Numerical results show some rules of non-zero-eigenvalue and their eigensolutions.enjournal article10.1631/jzus.2005.A0922