TY - JOUR
T1 - Modified simple equation method to the nonlinear Hirota Satsuma KdV system
AU - E.M.E.Zayed , Khaled A. Gepreel and M. M. El-Horbaty
JO - Journal of Information and Computing Science
VL - 1
SP - 054
EP - 062
PY - 2024
DA - 2024/01
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22565.html
KW - The modified simple equation method , Exact solutions,  Nonlinear evaluation equations, The 
nonlinear Hirota Satsuma equations. 

AB - In this article, we use  the modified simple equation method to construct the exact traveling wave 
solutions  for  some  nonlinear  PDE's  in  mathematical  physics  namely  the  coupled  Hirota  –  Satsuma  KdV 
equations and the generalized coupled Hirota – Satsuma KdV equations. Based on this formulation,  solitary 
solutions can be easily obtained by using the proposed method. Some known solutions obtained by the tanh-
coth method are recovered as special cases. The proposed method is direct and more powerful than the other 
methods.