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arxiv: 1408.5875 · v2 · pith:DPA3DX35new · submitted 2014-08-25 · 🧮 math.DG

Contact equivalence problem for KDV-type equations

classification 🧮 math.DG
keywords equationsequivalencecontactkdv-typemethodproblemactionapplied
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The Cartan's method of equivalence and moving coframe method has been applied to solve the local equivalence problem for KDV-type equations under the action of a pseudo-group of contact transformations. The structure equations, the sets of differential invariants for symmetry groups and equivalent conditions of these equations are found.

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