4.4 Article

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

Journal

AIP ADVANCES
Volume 3, Issue 5, Pages -

Publisher

AMER INST PHYSICS
DOI: 10.1063/1.4804433

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Funding

  1. USM [304/PMATHS/6310072]

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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'(phi) = h + f G (phi) + g G(2) (phi) 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. (C) 2013 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License.

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