TY - JOUR
T1 - A modified (G'/G)- expansion method and its application for finding hyperbolic, trigonometric and rational function solutions of nonlinear evolution equations
AU - Elsayed M. E. Zayed
JO - Journal of Information and Computing Science
VL - 1
SP - 003
EP - 012
PY - 2024
DA - 2024/01
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22624.html
KW -  Nonlinear  evolution  equations,  modified  (G'/G)-expansion  method,  hyperbolic  Function 
solutions, Trigonometric Function solutions, Rational function solutions. 

AB -  A  modified  (G'/G)-  expansion  method  is  proposed  to  construct  hyperbolic,  trigonometric  and 
rational function solutions of nonlinear evolution equations which can be thought of as the generalization of 
the (G'/G)- expansion method given recently by M.Wang et al . To illustrate the validity and advantages of 
this  method,  the  (1+1)-dimensional  Hirota-Ramani  equation  and  the  (2+1)-dimensional  Breaking  soliton 
equation are considered and more general traveling wave solutions are obtained. It is shown that the proposed 
method  provides  a  more  general  powerful  mathematical  tool  for  solving  nonlinear  evolution  equations  in 
mathematical physics.