Starting with properties of cubic parabola, it is demonstrated elementarily that solving elliptic equations using Jacobian elliptic functions, analytic solutions for a class of nonlinear wave equations and properties of nonlinear waves can be obtained, especially for solitary waves.

Starting with properties of cubic parabola, we solved elementarily the elliptic equations using Jacobian function for one\|dimensional conservative system.

The formula of discharge varying with normal water depth in cubic parabola shape open channel uniform flow and the conditions satisfied by the optimal hydraulic cross-section in the cubic parabola shape channel were deduced according to the theory of open channel uniform flow.

Comparisons of two different parabolic equation methods for electromagnetic computation;

Calculation of scatterers with edges with the improved parabolic equation;

2-D electromagnetic scattering calculations with the parabolic equation;

The imitation feasibility of parabola equation is also attested.

On the basis of this, it goes on to work out the examination standards of the PE courses by an application of the normal distribution principle and the parabola equation.

Oscillation of solutions of a class of quasilinear impulsive neutral parabolic equations was investigated and several sufficient criteria for oscillation of such systems with two boundary conditions were established in the present paper.