Laplace Transform: Developing the Variational Iteration Method

The classification of the Lagrange multiplier plays an import rule in the variationaliteration method and the variational theory is widely used for this purpose. This paper suggests an easier approach by the Laplace transform to determining themultiplier, making the processobtainable to researchers facing different nonlinearproblems. A nonlinear oscillator is adopted as an illustration to elucidate thedetection process and the solution process, only one iteration leads to an ultimateresult.