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.
Group analysis of the modified generalized Vakhnenko equation / M.S. Hashemi; M.C. Nucci; S. Abbasbandy. - In: COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION. - ISSN 1007-5704. - STAMPA. - 18:4(2013), pp. 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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