Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation

Naher, Hasibun; Abdullah, Farah Aini; Mohyud-Din, Syed Tauseef

Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation

Naher, Hasibun ; Abdullah, Farah Aini ; Mohyud-Din, Syed Tauseef

Date: 2013

Citation:

Naher, H., Abdullah, F. A., & Mohyud-Din, S. T. (2013). Extended generalized riccati equation mapping method for the fifth-order sawada-kotera equation. AIP Advances, 3(5) doi:10.1063/1.4804433

Abstract:

In this article, the generalized Riccati equation mapping together with the basic (G′/G)-expansion method is implemented which is advance mathematical tool to investigate nonlinear partial differential equations. Moreover, the auxiliary equation G′(φ) = h + f G(φ) + g G 2(φ) is used with arbitrary constant coefficients and called the generalized Riccati equation. By applying this method, we have constructed abundant traveling wave solutions in a uniform way for the Sawada-Kotera equation. The obtained solutions of this equation have vital and noteworthy explanations for some practical physical phenomena.

Keywords:

Arbitrary constants; Auxiliary equations; Expansion methods; Generalized riccati equations; Mathematical tools; Nonlinear partial differential equations; Physical phenomena; Traveling wave solution

Description:

This article was published in the AIP Advances [© 1998 ] and the definite version is available at : http://dx.doi.org/10.1063/1.4804433 The Journal's website is at: http://scitation.aip.org/content/aip/journal/adva/3/5/10.1063/1.4804433

Publisher Link: http://scitation.aip.org/content/aip/journal/adva/3/5/10.1063/1.4804433

DOI: http://dx.doi.org/10.1063/1.4804433