sigma09-024. 201KB Jun 04 2011 12:10:24 AM
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Heun’s equation naturally appears as special cases of Fuchsian system of differential equations of rank two with four singularities by introducing the space of ini- tial conditions
In particular, it is known that a Riemannian metric admitting a conformal Killing spinor with zero is conformally equivalent to an asymptotically locally Euclidean and Ricci-
In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty.. The spectrum in both the cases are
We consider trigonometric solutions of WDVV equations and derive geometric conditions when a collection of vectors with multiplicities determines such a solution.. We incorporate
On the other hand, for a multi-time generalization, it is known that the Garnier system admits a particular solution in terms of the Appell–Lauricella hypergeometric function F D [
Key words: quiver variety; quiver variety with multiplicities; non-symmetric Kac–Moody algebra; Painlev´e equation; meromorphic connection; reflection functor; middle convolution..
We apply the Painlev´e test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by
In fact, our aim is, on the one hand, to present new Miura transformations between the ABS equations and Volterra-type difference equations and on the other hand, to show that the
