Classical solutions of the degenerate Garnier system and their coalescence structures

@article{Suzuki2004ClassicalSO,
  title={Classical solutions of the degenerate Garnier system and their coalescence structures},
  author={T. Suzuki},
  journal={Journal of Physics A},
  year={2004},
  volume={39},
  pages={12103-12113}
}
  • T. Suzuki
  • Published 2004
  • Physics, Mathematics
  • Journal of Physics A
We study the degenerate Garnier system which generalizes the fifth Painleve equation PV. We present two classes of particular solutions, classical transcendental and algebraic ones. Their coalescence structure is also investigated. 
Classification of algebraic solutions of irregular Garnier systems

References

SHOWING 1-10 OF 29 REFERENCES
Classical transcendental solutions of the Painleve equations and their degeneration
The degeneration of the two dimensional garnier system and the polynomial Hamiltonian structure
Affine Weyl Group Symmetry of the Garnier System
A determinant formula for a class of rational solutions of Painlevé V equation
From Gauss to Painlevé : a modern theory of special functions : dedicated to Tosihusa Kimura
...
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2
3
...