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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 629434, 6 pages
http://dx.doi.org/10.1155/2014/629434
Research Article

Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation

1Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu Province 212013, China
2Nanjing Normal University, Nanjing, Jiangsu Province 210097, China
3College of Engineering, Nanjing Agricultural University, Nanjing, Jiangsu Province 210031, China

Received 31 December 2013; Accepted 10 February 2014; Published 13 March 2014

Academic Editor: Baojian Hong

Copyright © 2014 Qian Lijuan 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.

Abstract

We introduce the variational iteration method for solving the generalized Degasperis-Procesi equation. Firstly, according to the variational iteration, the Lagrange multiplier is found after making the correction functional. Furthermore, several approximations of which is converged to are obtained, and the exact solutions of Degasperis-Procesi equation will be obtained by using the traditional variational iteration method with a suitable initial approximation . Finally, after giving the perturbation item, the approximate solution for original equation will be expressed specifically.