Coupled Painlevé Iii Systems with Affine Weyl Group Symmetry of Types B
نویسنده
چکیده
We find and study four kinds of five-parameter family of six-dimensional coupled Painlevé III systems with affine Weyl group symmetry of types D (1) 5 , B (1) 5 and D (2) 6 . We show that each system is equivalent by an explicit birational and symplectic transformation, respectively. We also show that we characterize each system from the viewpoint of holomorphy.
منابع مشابه
Coupled Painlevé Iii Systems with Affine Weyl Group Symmetry of Types B (1)
We find and study four kinds of a 4-parameter family of four-dimensional coupled Painlevé III systems with affine Weyl group symmetry of types B (1) 4 , D (1) 4 and D (2) 5 . We also show that these systems are equivalent by an explicit birational and symplectic transformation, respectively.
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