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Approximate solutions for the generalized KdV-Burgers equation by He’s variational iteration method. (English) Zbl 1128.35091

Summary: The variational iteration method is used for solving the generalized KdV-Burgers (GKdVB\((p,m,q)\)) equations with nonzero parameters \(p\), \(m\) and \(q\). We can see the GKdVB \((p, m,q)\) equations from another point of view as the generalized Burgers (GB\((p, m, q)\)) equations and the generalized KdV (GKdV\((p, m, q)\)) equations by considering various parameters. Two test problems are used to demonstrate the accuracy of our technique.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
37L65 Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems
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