Symmetries of the discrete Burgers equation
Copyright policy )Symmetries of the discrete Burgers equation
Summary: A discrete Cole-Hopf transformation is used to derive a discrete Burgers equation that is linearizable to a discrete heat equation. A five-dimensional symmetry algebra is obtained that reduces to the Lie point symmetry algebra of the usual Burgers equation in the continuous limit. This Lie algebra is used to obtain explicit invariant solutions.
explicit invariant solutions, KdV equations (Korteweg-de Vries equations), discrete Cole-Hopf transformation, discrete heat equation, discrete Burgers equation, Difference operators, symmetry algebra, Lattice dynamics; integrable lattice equations, Geometric theory, characteristics, transformations in context of PDEs
explicit invariant solutions, KdV equations (Korteweg-de Vries equations), discrete Cole-Hopf transformation, discrete heat equation, discrete Burgers equation, Difference operators, symmetry algebra, Lattice dynamics; integrable lattice equations, Geometric theory, characteristics, transformations in context of PDEs
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