Abstract
We describe all formal symmetric solutions of dispersionless 2D Toda hierarchy. This classification 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.
Highlights
Let Q be a connected domain on the Riemann sphere without two points
The Riemann theorem does not give algorithm for calculation of the function. This function is very important for applications in gas dynamics, hydrodynamics, the oil industry ets
Let H be the set of all such Q with smooth boundary γ = ∂Q
Summary
This content has been downloaded from IOPscience. Please scroll down to see the full text. Ser. 670 012036 (http://iopscience.iop.org/1742-6596/670/1/012036) View the table of contents for this issue, or go to the journal homepage for more. Download details: IP Address: 128.68.41.10 This content was downloaded on 10/02/2016 at 17:17 Please note that terms and conditions apply. XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23) IOP Publishing. Journal of Physics: Conference Series 670 (2016) 012036 doi:10.1088/1742-6596/670/1/012036. National Research University Higher School of Economics, 20 Myasnitskaya street, Moscow 101000, Russia Institute for Theoretical and Experimental Physics, 25 Bolshaya Cheremushkinskaya street, Moscow 117218, Russia Laboratory of Quantum Topology, Chelyabinsk State University, 129 Brat’ev Kashirinykh street, Chelyabinsk 454001, Russia
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
