Analytical solutions of KdV equation with relaxation effect of inhomogeneous medium

摘要

KdV (Korteweg-de Vries) equation with relaxation effect of inhomogeneous medium with time changing can be employed in many different physical fields. In this paper, some new analytical solutions of the equation are obtained, which may be very useful in numerical simulation, by using of the truncated expansion and Jacobi elliptic function expansion methods.