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The solution of KdV and mKdV equations using adomian pade approximation

Tamer A. Abassy
Magdy A. El-Tawil
Hassan K. Saleh
Journal / Anthology

International Journal of Nonlinear Sciences and Numerical Simulation
Year: 2004
Volume: 5
Issue: 4
Page range: 327-339

Adomian Decomposition methods (ADM) is am approximation method which can be adapted to solve nonlinear partial differential equations. In this paper, we solve the KdV and the modified KdV (mKdV) equations using ADM-Pade technique, which gives the approximate solution with fast convergence rate and high accuracy in the case of solitary wave solution and closed form solution in teh case of rational polynomial solution.

*Mathematics > Calculus and Analysis > Differential Equations