TY - JOUR
T1 - Extended rational (G’/ G)expansion method for nonlinear partial differential equations
AU - Khaled A. Gpreel , Taher A. Nofal and Khulood O. Alweail
JO - Journal of Information and Computing Science
VL - 1
SP - 030
EP - 057
PY - 2024
DA - 2024/01
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22527.html
KW -  The  extended  rational(
)-  expansion  function  method,  Traveling  wave  solutions,  The 
(2+1)-dimensional Wu-Zhang equations, The KdV equation, The generalized Hirota–Satsuma coupled KdV 
equation. 

AB - In this article,  we use the extended rational (
)- expansion function method to construct 
exact  solutions  for    some  nonlinear  partial  differential  equations  in  mathematical  physics  via  the  (2+1)-
dimensional  Wu-Zhang  equations,  the  KdV  equation,  and  generalized  Hirota–Satsuma  coupled  KdV 
equation  in  terms  of  the  hyperbolic  functions,    trigonometric  functions  and  rational  function,  when 
satisfies a nonlinear second order ordinary differential equation. When the parameters are taken some special 
values,  the  solitary  wave  are  derived  from  the  traveling  waves.  This  method  is  reliable,  simple  and  gives 
many new exact solutions.