isovectors method; equations; isovector; certain exact solutions; a; isovector
A generalized K-dV-Burger type equation
ut+a(u)+B(u)ux-g(x)u=0 where m, n, p, q, a, a, b are constants and g(x) is an arbitrary function, has been analyzed through isovectors method. After constructing the components of the isovector field, the invariant groups of transformations are determined by means of the orbital equations. These are further utilized to derive certain exact solutions corresponding to different cases in terms of the parameters of the equation.