Analytical and Multishaped Solitary Wave Solutions for Extended Reduced Ostrovsky Equation. (1st September 2013)

• Record Type: Journal Article
• Authors: Zhang, Ben-gong
• Other Names: Saha Ray Santanu Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-09-01
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/670847
• Languages: English
• ISSNs: 1085-3375

Abstract

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 ( G ′ / G ) -expansion method presents a wide applicability for handling nonlinear partial differential equations.