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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 670847, 8 pages
http://dx.doi.org/10.1155/2013/670847
Research Article

Analytical and Multishaped Solitary Wave Solutions for Extended Reduced Ostrovsky Equation

School of Mathematical and Computer Science, Wuhan Textile University, Wuhan 430200, China

Received 5 June 2013; Accepted 25 July 2013

Academic Editor: Santanu Saha Ray

Copyright © 2013 Ben-gong Zhang. 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 present the analytical and multishaped solitary wave solutions for extended reduced Ostrovsky equation (EX-ROE). The exact solitary (traveling) wave solutions are expressed by three types of functions which are hyperbolic function solution, trigonometric function solution, and rational solution. These results generalized the previous results. Multishape solitary wave solutions such as loop-shaped, cusp-shaped, and hump-shaped can be obtained as well when the special values of the parameters are taken. The -expansion method presents a wide applicability for handling nonlinear partial differential equations.