Article ID Journal Published Year Pages File Type
758711 Communications in Nonlinear Science and Numerical Simulation 2013 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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