Group Invariant Solutions and Conserved Vectors for a Special KdV Type Equation

We study a special simple ’kdv type’ equation by Lie group analysis. The obtained Lie point symmetries are used to carry out symmetry reductions and the resulting reduced systems investigated for exact solutions. Traveling waves obtained are a linear span of time and space translation symmetries. The multiplier technique has been employed in the construction of conserved vectors for KdV equation.