Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
758711 | Communications in Nonlinear Science and Numerical Simulation | 2013 | 11 Pages |
Abstract
In this paper the Lie symmetry group, the corresponding symmetry reductions and invariant solutions of the modified generalized Vakhnenko equation are determined. Moreover a numerical algorithm that is based on a Lie symmetry group preserving scheme is applied to the ordinary differential equations obtained by symmetry reduction.
► Lie group analysis is applied to the modified generalized Vakhnenko equation. ► Similarity reductions and new exact solutions are derived. ► Numerical solutions are also obtained by using a group preserving numerical algorithm.
Keywords
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Authors
M.S. Hashemi, M.C. Nucci, S. Abbasbandy,