New Exact Solutions of the Lienerd Equationswith Fifth-Order Stronger Nonlinear Terms

By constructing auxiliary differential equations, newmultiple exactsolutions of the Lienard equations with fifth-order stronger nonlinear terms were obtained, including solitary solutions, trigonometric function solutions, Jacobian elliptic function solutions. By use of the results , new multiple explicit exact solutions ofmany important nonlinear evolution equations, such as the Kundu equations, the differential Schr dinger equations, the nonlinear wave equations in mechanics, PC equations and so on, can be solved.