This paper outlines a detailed study of some latest trends and developments in nonlinear sciences. The major focus of our study will be variational iteration (VIM) and its modifications, homotopy perturbation (HPM), parameter expansion and exp-function methods. The above mentioned schemes are highly accurate, extraordinary efficient, capable to cope with the versatility of the physical problems and are being used to solve a wide class of nonlinear problems. Several examples are given which reveal the justification of our claim.
Mohyud-Din, Syed T. and Yildirim, Ahmet
Latest Developments in Nonlinear Sciences,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
3, Article 5.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss3/5