Abstract：The homotopic mapping method was used to obtain the approximate solutions with double periodic form of coefficient combined perturbed KdV equations. By functional transformation, the variable coefficient combined perturbed KdV equations were simplified to ordinary line array and combined perturbed KdV equations. Based on Fourier analysis method, the homotopy mapping was introduced to get approximate solutions of Jacobi elliptic function form for original equations under initial conditions. Some solutions could be degenerated to approximate solutions of hyperbolic function form or trigonometric function form in the limit cases. The first approximate solutions and the second approximate solutions of variable coefficient combined KdV equations were obtained under perturbation condition.
2014, Vol. 35 
