The construction was not only traditional but also amalgamated the character of the north and south, and embodied the brilliant fuedal grade and local character, therefore, it has important study value on history, art and science.

Solution of characteristic equation in eigenvalue problems of spherical Bessel equation by using Matlab algorithm;

Approximation solution of characteristic equation of guide wave in a semicircle tunnel;

Generalization and Application of the Characteristic Equation of Matrix with Applications;

Using characteristic equations and elementary transformation,we present general solution of integrable Riccati differential equations and its application.

The dispersion secular equation and displacement equation of Stoneley waves in infinite\|solid media are obtained in this paper.

The secular equation and displacement equation of Stoneley waves in two infinite fluid solid media are derived in this paper.

The secular equation and displacement equations of Stoneley waves in two infinite fluid solid media are deduced by using analytical method in this paper.

Mode Eigenequation of the Confocal Elliptical Waveguide Filled with Multilayered Reciprocal Chiral Media;

Then the eigenequations were obtained by using the recursive relations among their coefficients.

With the method of separation of variables,the general mode eigenequation of the metal circular waveguide filled with multilayer reciprocal chiral media was given.

All the fourth order symmetries of Burgers′ Equation are obtained by using the characteristic method for computing the Lie Backlund symmetry of partial differential equation (PDE).