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A numerical simulation and explicit solutions of KdV-Burgers’ and Lax’s seventh-order KdV equations. (English) Zbl 1099.35521
Summary: By means of a variational iteration method the solution of the Korteweg-de Vries-Burgers and a Lax’s seventh-order KdV equations are exactly obtained and in compared with that found by means of the Adomian decomposition method. The comparison demonstrates that the two obtained solutions are in excellent agreement. The numerical results show that this method can be readily implemented.

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
35C05 Solutions to PDEs in closed form
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