فهرست نشریات علمی دسترسی آزاد ایران

‎In this paper‎, ‎by applying the non-classical symmetry method‎, ‎non-classical symmetries of the Kodryashov-Sinleschikov (K-S) and‎ ‎modified Korteweg-de Vries-Zaharov-Kuznetsov (mKdV-ZK) equations are‎ ‎obtained‎. ‎Apart from classical symmetries‎, ‎this theory can be‎ ‎effective in finding a few other solutions for a system of PDEs and‎ ‎ODEs‎. ‎Also‎, ‎non-classical symmetries of a system of PDEs can be‎ ‎applied to reduce the number of independent variables‎. ‎By adding the‎‎invariance surface condition to the assumed equations and applying‎ ‎the classical symmetry method for them‎, ‎non-classical symmetries are‎ ‎calculated‎. ‎Finally‎, ‎some of the group invariant solutions and the‎ ‎similarity reduced equations associated to non-classical symmetry‎ ‎are obtained‎.