Solution of Modified Hirota-Satsuma (MHS) Coupled KdV-Equations by Variational Iteration Method

International Journal of Mathematics Trends and Technology (IJMTT)
© 2021 by IJMTT Journal
Volume-67 Issue-5
Year of Publication : 2021
Authors : Franklin Ogunfiditimi, Nyore Okiotor


MLA Style: Franklin Ogunfiditimi, Nyore Okiotor "Solution of Modified Hirota-Satsuma (MHS) Coupled KdV-Equations by Variational Iteration Method" International Journal of Mathematics Trends and Technology 67.5 (2021):113-125. 

APA Style: Franklin Ogunfiditimi, Nyore Okiotor(2021). Solution of Modified Hirota-Satsuma (MHS) Coupled KdV-Equations by Variational Iteration Method International Journal of Mathematics Trends and Technology, 113-125.

In this paper the Variational Iteration Method (VIM) is applied to solve the Hirota-Satsuma coupled KdV equations. The results obtained are compared with the results by the analytical solution and the solutions by other methods such as the “Differential Transform Method’’ (DTM), the ‘‘Decomposition Method’’ (DM) and “Homotopy Analysis Transform Method’’ (HATM). The results obtained by using VIM show rapid convergence to the exact solution and are in agreement with results from other methods. A new modified Hirota-Satsuma (mHS) coupled KdV equation is also introduced and solved. The numerical solution of the new (mHS) equation is computed using VIM. Computations are carried using Maple Software.


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Keywords : Hirota-Satsuma Coupled KdV equation, modified Hirota-Satsuma equation (mHS), Variational Iteration method (VIM).