Solutions of Fisher-Type, Cubic-Boussinesq and 7th-Order Caudrey–Dodd–Gibbon Equations by MVIM

In this work, the modified form of He’s variational iteration method (MVIM) is used for the analytical treatment of some non-linear partial differential equations such as Fisher-type equation, cubic Boussinesq equation and seventh-order Caudrey–Dodd–Gibbon equation. The efficiency of the method is demonstrated by the help of numerical results. The exactness and accuracy of the MVIM are also investigated. The method is capable of reducing the size of calculations. The study highlights the power of the MVIM method over the standard form, VIM.