Integrable Origins of Higher Order Painleve Equations
classification
🌊 nlin.SI
math-phmath.MP
keywords
equationshigherorderpainleveaffineclassextendedgeneralized
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Higher order Painleve equations invariant under extended affine Weyl groups $A^{(1)}_n$ are obtained through self-similarity limit of a class of pseudo-differential Lax hierarchies with symmetry inherited from the underlying generalized Volterra lattice structure.
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