تفاصيل الرسالة العلمية

In this thesis, we established two-mode versions for the integrable seventh-order Korteweg-de Vries (TMSKdV) equations. We determined the necessary conditions of the nonlinearity and dispersion parameters of the new equations for multiple- soliton solutions and multiple-singular soliton solutions to exist. We used the simpli?ed Hirota method to determine the multiple soliton solutions and multiple- singular soliton solutions under these conditions. The proposed method is applied to solve three new equations, the two mode seventh-order Sawada-Kotera-Ito equation, the two mode seventh-order Lax and two mode seventh-order Kaup-Kuperschmidt equation