Group analysis of the modified generalized Vakhnenko equation |
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| Authors: | MS Hashemi MC Nucci S Abbasbandy |
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| Institution: | 1. Dipartimento di Matematica e Informatica, Università di Perugia, 06123 Perugia, Italy;2. Department of Mathematics, Imam Khomeini International University, Ghazvin 34149, Iran |
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| 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. |
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