TITLE:
New Generalized (G'/G)-Expansion Method Applications to Coupled Konno-Oono Equation
AUTHORS:
Md. Nur Alam, Fethi Bin Muhammad Belgacem
KEYWORDS:
New Generalized (G'/G)-Expansion Method, Coupled Konno-Oono Equations, Nonlinear Partial Differential Equation
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.6 No.3,
February
29,
2016
ABSTRACT: The new
generalized (G'/G)-expansion method is one of the powerful and competent methods that
appear in recent time for establishing exact solutions to nonlinear evolution
equations (NLEEs). We apply the new generalized (G'/G)-expansion method to solve exact solutions of
the new coupled Konno-Oono equation and construct exact solutions expressed in
terms of hyperbolic functions, trigonometric functions, and rational functions
with arbitrary parameters. The significance of obtained solutions gives
credence to the explanation and understanding of related physical phenomena. As
a newly developed mathematical tool, this method efficiency for finding exact
solutions has been demonstrated through showing its straightforward nature and
establishing its ability to handle nonlinearities prototyped by the NLEEs
whether in applied mathematics, physics, or engineering contexts.