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arxiv: 1301.0732 · v1 · pith:F6M5733Mnew · submitted 2013-01-04 · 🌊 nlin.SI · math-ph· math.GR· math.MP

Four Points Linearizable Lattice Schemes

classification 🌊 nlin.SI math-phmath.GRmath.MP
keywords latticelinearizableconditionsfourpointsschemeapplyburgers
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We provide conditions for a lattice scheme defined on a four points lattice to be linearizable by a point transformation. We apply the obtained conditions to a symmetry preserving difference scheme for the potential Burgers introduced by Dorodnitsyn \cite{db} and show that it is not linearizable.

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