Abstract:An extended mapping method with symbolic computation is developed to obtain some new periodic wave solutions in terms of Jacobin elliptic function for nonlinear elastic rod equation arising in physics.As a result,many exact travelling wave solutions are obtained which include Jacobian elliptic functions solutions,combined Jacobian elliptic functions solutions and triangular function solutions.Solutions in the limiting cases have also been studied.It is shown that the mapping method provides a very effective and powerful mathematical tool for solving nonlinear evolution equations in physics
