Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 935030, 11 pages
doi:10.1155/2009/935030
Research Article

Analytical and Numerical Methods for the CMKdV-II Equation

Ömer Akin1 and Ersin Özuğurlu2

1Department of Mathematics, TOBB University of Economics and Technology, Sogutozu Street No: 43, Sogutozu, 06560 Ankara, Turkey
2Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, University of Bahcesehir, Besiktas, 34353 Istanbul, Turkey

Received 31 December 2008; Revised 3 April 2009; Accepted 9 April 2009

Academic Editor: Oleg Gendelman

Copyright © 2009 Ömer Akin and Ersin Özuğurlu. 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

Hirota's bilinear form for the Complex Modified Korteweg-de Vries-II equation (CMKdV-II) Ut−6|U|2Ux+Uxxx=0 is derived. We obtain one- and two-soliton solutions analytically for the CMKdV-II. One-soliton solution of the CMKdV-II equation is obtained by using finite difference method by implementing an iterative method.