[HTML][HTML] Classification of Hamiltonian non-abelian Painlev� type systems
Abstract All Hamiltonian non-abelian Painlev� systems of P 1-P 6 type with constant
coefficients are found. For P 1-P 5 systems, we replace an appropriate inessential constant
parameter with a non-abelian constant. To prove the integrability of new P 3′ and P 5
systems thus obtained, we find isomonodromic Lax pairs for them.
coefficients are found. For P 1-P 5 systems, we replace an appropriate inessential constant
parameter with a non-abelian constant. To prove the integrability of new P 3′ and P 5
systems thus obtained, we find isomonodromic Lax pairs for them.
Abstract
All Hamiltonian non-abelian Painlev� systems of type with constant coefficients are found. For systems, we replace an appropriate inessential constant parameter with a non-abelian constant. To prove the integrability of new and systems thus obtained, we find isomonodromic Lax pairs for them.
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