Abstract: Three problems are discussed in this paper 1. The physical significance of the characteristic tensor of finite deformation is discussed as a complement to the literature^[2] 2. The four characteristic tensors of finite deformation, introduced in the litera ture[4], ard analyzed and discussed more thoroughly.3. The representation of the general finite deformation through simple loading process is not always possible, the condition for its realization being that the given finite deformation satisfies the equations of compatibility. It is pointed out in this paper that for the finite deformation set forth by L.I. Sedov in an illustrative example in [9], the equations of compatibility cannot be satisfied even for K=1, henceforth for whatever value of K, the finite deformation set forth by Sedov can not be represented through simple loading process.

Key words: equation, periodic solution, solitary wave solution