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solv-int1997★ 2 cited
Dual Isomonodromic Problems and Whitham Equations
Kanehisa Takasaki
The author's recent results on an asymptotic description of the Schlesinger equation are generalized to the JMMS equation. As in the case of the Schlesinger equation, the JMMS equa…
solv-int1997★ 7 cited
Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences
Partha Guha, Kanehisa Takasaki
The dispersionless KP and Toda hierarchies possess an underlying twistorial structure. A twistorial approach is partly implemented by the method of Riemann-Hilbert problem. This is…
solv-int1997★ 13 cited
Spectral Curves and Whitham Equations in Isomonodromic Problems of Schlesinger Type
Kanehisa Takasaki
It has been known since the beginning of this century that isomonodromic problems --- typically the Painlevé transcendents --- in a suitable asymptotic region look like a kind of `…