Department of Mathematics;
Faculty of Science;
University of Zakho;
Zakho;
Iraq;
Department of Mathematics;
Faculty of Science;
Firat University;
Elazig;
Turkey;
Department of Mathematics and Science Education;
Harran University;
Sanliurfa;
Turkey;
School of Information Science and Technology;
Yunnan Normal University;
Kunming;
China;
newly modified method; coupled Boussinesq equation; linear stability analysis; Adomian decomposition method;