(1) The problem of lightning progressive wave protection for electrified railway traction substation of our country has been studied in this paper.

(2) Haitan Strait is a south-north and long restricted channel strait, tidal wave in the strait belongs to progressive wave.

(3) Effect of threedimensional topography on earthquake ground motion is studied from the point of view of progressiVe wave by means of finite difference method.

(4) This paper discusses the ordinary differential qualitative structure of the kind of partial differential equations and presents their explicit progressive wave solutions.

(5) Haitan Strait is a south channel strait, tidal wave in the strait belongs to progressive wave.

(6) A big class of nonlinear partial differential equations have progressive wave solutions, which can be transformed into ordinary differential autonomous system.