A New Modified Approach for Solving Seven-order Sawada-kotara Equations


Masoud Saravi - Department of mathematics, Islamic Azad University, Nour Branch, Nour, Iran. Ali Nikkar - Department of Civil Engineering, University of Tabriz, Tabriz, Iran. Martin Hermaan - Fakultätfür Mathematik und Informatic, Friedrich-Schiller-Universität Jena, Germany. Javad Vahidi - Department of mathematics, Iran University of Science and Technology, Tehran, Iran. Reza Ahari - School of Electrical and Computer Engineering, University of Shiraz, Shiraz, Iran.


Herein, Reconstruction of Variational Iteration Method (RVIM) is used for computing solutions of the seventh-order Sawada-Kotera equation (sSK) and a Lax’s seventh order KdV equations (LsKdV). The results are compared with the Adomian decomposition method (ADM) and the known analytical solutions. Results obtained expose effectiveness and capability of this method to solve the seven-order Sawada-Kotera (sSK) and a Lax's seven-order KdV (LsKdV) equations.