Derivation of Painlevé type system with $D_4^{(1)}$ affine Weyl group
symmetry in a self-similarity limitArticleAuthors: H. Aratyn ; J. F. Gomes ; G. V. Lobo

; A. H. Zimerman
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H. Aratyn;J. F. Gomes;G. V. Lobo;A. H. Zimerman
We show how the zero-curvature equations based on a loop algebra of $D_4$ with a principal gradation reduce via self-similarity limit to a polynomial Hamiltonian system of coupled Painlevé III models with four canonical variables and $D_4^{(1)}$ affine Weyl group symmetry.
Comment: 14 pages
Volume: Volume 3
Published on: September 6, 2023
Accepted on: September 1, 2023
Submitted on: August 9, 2023
Keywords: Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics