TY - JOUR
T1 - Exact Solutions for Nonlinear PDEs with the Variable Coefficients in Mathematical Physics
AU - Khaled A. Gepreel
JO - Journal of Information and Computing Science
VL - 1
SP - 003
EP - 014
PY - 2024
DA - 2024/01
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22689.html
KW -    A  generalized  (
)-  expansion  method  with  the  variable  coefficients,  The  generalized 
time- dependent variable coefficients KdV- mKdV equation, The coupled modified KdV equations with non-
uniformity terms, The Jacobi elliptic functions. 

AB -  In this article, we construct the exact solutions for  nonlinear partial differential equations with 
the  variable  coefficients  in  the  mathematical  physics  via  the  generalized  time-    dependent  variable 
coefficients  KdV-mKdV  equation  and  the  coupled  modified  KdV  equations  with  non-uniformity  terms  by 
)  -  expansion  method  with  the  variable  coefficients,  where  G    satisfies  the 
using  a  generalized  (
Jacobi elliptic  equation.  Many of the exact solutions in terms of Jacobi elliptic functions are obtained. The 
proposed method is reliable and effective and gives more new exact solutions.