Open AccessExtended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation
Author(s) -
Hasibun Naher,
Farah Aini Abdullah,
Syed Tauseef MohyudDin
Publication year - 2013
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4804433
Subject(s) - riccati equation , partial differential equation , algebraic riccati equation , mathematics , first order partial differential equation , differential equation , hill differential equation , order (exchange) , mathematical analysis , exact differential equation , finance , economics
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 G2(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