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.
M.S. Hashemi, M.C. Nucci, S. Abbasbandy (2013). Group analysis of the modified generalized Vakhnenko equation. COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION, 18(4), 867-877 [10.1016/j.cnsns.2012.09.004].
Group analysis of the modified generalized Vakhnenko equation
M.C. Nucci;
2013
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.File in questo prodotto:
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