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The Scientific World Journal
Volume 2014 (2014), Article ID 593642, 5 pages
Research Article

Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients

Center of Nonlinear Science Research, Jiangsu University, Zhenjiang, Jiangsu 212013, China

Received 21 November 2013; Accepted 15 January 2014; Published 5 March 2014

Academic Editors: T. Fang and X. Jing

Copyright © 2014 Dianchen Lu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This work concerns how to find the double periodic form of approximate solutions of the perturbed combined KdV (CKdV) equation with variable coefficients by using the homotopic mapping method. The obtained solutions may degenerate into the approximate solutions of hyperbolic function form and the approximate solutions of trigonometric function form in the limit cases. Moreover, the first order approximate solutions and the second order approximate solutions of the variable coefficients CKdV equation in perturbation are also induced.