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The solution of coupled modified KdV system by the homotopy analysis method. (English) Zbl 1254.65114
Summary: The Homotopy Analysis Method (HAM) is presented for obtaining the approximate solution of new coupled modified Korteweg-de Vries (MKdV) system. The approximate analytical solution is obtained by using this method in the form of a convergent power series with components that are easily computable. For the problems considered, only a few terms are required to obtain an approximate solution that is accurate and efficient.

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35Q53 KdV equations (Korteweg-de Vries equations)
35A35 Theoretical approximation in context of PDEs