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arxiv: 1310.0155 · v1 · submitted 2013-10-01 · 🌊 nlin.SI

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Residual Symmetry Reductions and Interaction Solutions of (2+1)-Dimensional Burgers Equation

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classification 🌊 nlin.SI
keywords beensymmetryburgersequationsolutionsdimensionalexpansiongeneralized
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The (2+1)-dimensional Burgers equation has been investigated first from prospective of symmetry by localizing the nonlocal residual symmetries and then studied by a simple generalized tanh expansion method. New symmetry reduction solutions has been obtained by using the standard Lie point symmetry group approach. A new B\"{a}klund transformation for Burgers equation has been given with the generalized tanh expansion method . From this BT, interactive solutions among different nonlinear excitations which is hard to obtain by other methods has also been obtained easily.

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