Integrable Origins of Higher Order Painleve Equations

Details Integrable Origins of Higher Order Painleve Equations Integrable Origins of Higher Order Painleve Equations

2010-10-27

arxiv.org/abs/1010.5725v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

18 pages Latex

Scientific paper

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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