Publication | Closed Access
On Reciprocal Bäcklund Transformations and the Korteweg-deVries Hierarchy
78
Citations
7
References
1986
Year
Representation TheoryReciprocal Bäcklund TransformationsGeneric Auto-bäcklund TransformationBacklund TransformationAlgebraic AnalysisEvolution EquationIntegrable SystemDym HierarchyLie Point SymmetryIntegral Transform
It is shown that the Dym hierarchy of nonlinear evolution equations is invariant under a class of reciprocal Bäcklund transformations. This result is used to construct a generic auto-Bäcklund transformation for the Korteweg-deVries hierarchy in a novel manner.
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