Investigation of Some Explicit Exact Solution of the Damped Forced KDV Burger Equation by Modified Exp(-φ(ξ))-Expansion Method

Abstract

This work presented the some explicit exact solution of the damped forced KdV-Burger equation with variable coefficients. We have successfully applied the exp(-φ(ξ))-expansion method with modification to obtain the generalized explicit exact solution of the damped forced KdV-Burger’s equation. The obtained solution contains the hyperbolic function and trigonometric function. The dynamic behavior of the solution is demonstrated graphically in three dimensional and two dimensional space.