Exact travelling wave solutions for a diffusion-convection equation in two and three spatial dimensions
The modified extended tanh-function method were applied to the general class of nonlinear diffusion-convection equations where the concentration-dependent diffusivity, D(u), was taken to be a constant while the concentration-dependent hydraulic conductivity, K (u) were taken to be in a power law. The obtained solutions include rational-type, triangular-type, singular-type. and solitary wave solutions. In fact, the profile of the obtained solitary wave solutions resemble the characteristics of a shock-wave like structure for an arbitrary m (where m > 1 is the power of the nonlinear convection term). (C) 2004 Elsevier B.V. All rights reserved.
travelling wave solutions modified extended tanh-function method diffusion-convection processes symbolic computations