Add to ORKGWe 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 Painlev\'e III models with four canonical variables and $D_4^{(1)}$ affine Weyl group symmetry.Comment: 14 page
MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･イ...
In this paper, I derive a zero curvature representation of quantum Painlevé II equation and its Ricc...
AbstractThe six Painlevé equations (PI–PVI) were first discovered about a hundred years ago by Painl...
We show how the zero-curvature equations based on a loop algebra of $D_4$with a principal gradation ...
First, starting from two hierarchies of autonomous St\"{a}ckel ODE's, we reconstruct the hierarchy o...
We present a construction of a class of rational solutions of the Painlev\'e V equation that exhibit...
The six Painleve equations (PI–PVI) were first discovered about a hundred years ago by Painleve and ...
In this article, we give special solutions of second and fourth Painlev´e hierarchies derived by Go...
In this paper, I construct the Darboux transformations for the non-commutative Toda solutions at n =...
Higher order Painleve equations and their symmetry transformations belonging to extended affine Weyl...
Mathematical structures of integrable systems, its deepening and expansion. September 9-11, 2019. ed...
In a previous paper [16], we considered the 40 types of autonomous 4-dimensional Painlev´e-type equa...
In a previous paper [16], we considered the 40 types of autonomous 4-dimensional Painlev´e-type equa...
In a previous paper [16], we considered the 40 types of autonomous 4-dimensional Painlev´e-type equa...
In a previous paper [16], we considered the 40 types of autonomous 4-dimensional Painlev´e-type equa...
MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･イ...
In this paper, I derive a zero curvature representation of quantum Painlevé II equation and its Ricc...
AbstractThe six Painlevé equations (PI–PVI) were first discovered about a hundred years ago by Painl...
We show how the zero-curvature equations based on a loop algebra of $D_4$with a principal gradation ...
First, starting from two hierarchies of autonomous St\"{a}ckel ODE's, we reconstruct the hierarchy o...
We present a construction of a class of rational solutions of the Painlev\'e V equation that exhibit...
The six Painleve equations (PI–PVI) were first discovered about a hundred years ago by Painleve and ...
In this article, we give special solutions of second and fourth Painlev´e hierarchies derived by Go...
In this paper, I construct the Darboux transformations for the non-commutative Toda solutions at n =...
Higher order Painleve equations and their symmetry transformations belonging to extended affine Weyl...
Mathematical structures of integrable systems, its deepening and expansion. September 9-11, 2019. ed...
In a previous paper [16], we considered the 40 types of autonomous 4-dimensional Painlev´e-type equa...
In a previous paper [16], we considered the 40 types of autonomous 4-dimensional Painlev´e-type equa...
In a previous paper [16], we considered the 40 types of autonomous 4-dimensional Painlev´e-type equa...
In a previous paper [16], we considered the 40 types of autonomous 4-dimensional Painlev´e-type equa...
MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･イ...
In this paper, I derive a zero curvature representation of quantum Painlevé II equation and its Ricc...
AbstractThe six Painlevé equations (PI–PVI) were first discovered about a hundred years ago by Painl...