Abstract

In this study, Reconstruction of Variational Iteration Method (RVIM) is used for computing the Generalized Hirota-Satsuma coupled KdV equation, Kawahara equation and FKdV equations. This new applied algorithm is a powerful and efficient technique in finding the approximate solutions for the linear and nonlinear equations. RVIM as a method that based on Laplace transform has high rapid convergence and reduces the size of calculations using only few terms, so many linear and nonlinear equations can be solved by this method. Results are compared with those of Adomian’s Decomposition Method (ADM). The results of Reconstruction of Variational Iteration Method (RVIM) are of high concentration and the method is very effective and succinct.

Keywords:

Generalized hirota-satsuma coupled KdV equation, kawahara equation, Reconstruction of Variational Iteration Method (RVIM), some FKdV equations,

References

Competing interests

The authors have no competing interests.

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Copyright

The authors have no competing interests.