Author:
Bobrova Irina,Sokolov Vladimir
Abstract
AbstractAll Hamiltonian non-abelian Painlevé systems of $${{\,\mathrm{P_{1}}\,}}-{{\,\mathrm{P_{6}}\,}}$$
P
1
-
P
6
type with constant coefficients are found. For $${{\,\mathrm{P_{1}}\,}}-{{\,\mathrm{P_{5}}\,}}$$
P
1
-
P
5
systems, we replace an appropriate inessential constant parameter with a non-abelian constant. To prove the integrability of new $${{\,\mathrm{P_{3}^{\prime }}\,}}$$
P
3
′
and $${{\,\mathrm{P_{5}}\,}}$$
P
5
systems thus obtained, we find isomonodromic Lax pairs for them.
Funder
Ministry of Science and Higher Education of the Russian Federation
International Laboratory of Cluster Geometry HSE
Young Russian Mathematics award
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Cited by
2 articles.
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