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Article

Dispersionless 2D Toda hierarchy, Hurwitz numbers and Riemann theorem

Journal of Physics: Conference Series. 2016. Vol. 670. P. 1-6.

We describe all formal symmetric solutions of dispersionless 2D Toda hierarchy. This classi cation we use for solving of two classical problems: 1) The calculation of conformal mapping of an arbitrary simply connected domain to the standard disk; 2) Calculation of 2-Hurwitz numbers of genus 0.