Exact solutions of some nonlinear partial differential equations using the variational iteration method linked with Laplace transforms and the Pade technique
In this paper, the variational iteration method (VIM) is reintroduced with Laplace transforms and the Pade technique treatment to obtain closed form solutions of nonlinear equations. Some examples, including the coupled Burger's equation, compacton k(n, n) equation, Zakharov-Kuznetsov Zk(n, n) equation, and KdV and mKdV equations are given to show the effectiveness of the coupled VIM-Laplace-Pade and VIM-Pade techniques. (c) 2007 Elsevier Ltd. All rights reserved.
nonlinear partial differential equations variational iteration method laplace transform compactons pade approximant