In this paper, we have studied a class of nonlinear viscous dispersive wave equations:the viscous Fornberg-Whitham equation and the viscous dispersive wave equation.

In the paper, we study two nonlinear partial differential dispersive equations, that is, viscous Fornberg-Whitham equation and a class of viscous nonlinear dispersive wave equations.

Second, under the traveling wave transformation, Fornberg-Whitham equation is reduced to an ordinary differential equation, whose general solution can be obtained using the factorization technique.

In this paper, we study a class of nonlinear partial differential dispersive equations, that is, general Degasperis-Procesi equation, the Fornberg-Whitham equation.

Bifurcations of traveling wave solutions to the Whitham-Broer-Kaup system;

This thesis is devoted to the problems of anisotropic finite elements convergence of vicoelastic equation and parabolic integro-differential equation and the error estimates of variable coefficient parabolic equation with anisotropic moving grids finite element methods mainly.

In this paper, the main contents are two class of nonconforming finite element methods with moving grids for vicoelastic equation.

The Carey nonconforming triangle finite element approximation for vicoelastic equation with moving grid is studied.