Conference item

Nonautonomous integrable systems associated with Hurwitz spaces in genuses zero and one

Abstract:: Briefly outlining our recent work, we construct a family of nonautonomous integrable systems (deformations of the principal chiral model) in connection with the Hurwitz spaces of meromorphic functions on the Riemann sphere, cylinder, and torus. We give differential equations describing the dependence of the critical points of the rational, elliptic, and trigonometric functions on the critical values. We outline a relation to the deformation framework of Burtzev-Mikhailov-Zakharov.

Publication status:: Published

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APA Style

Kokotov, A., Korotkin, D., & Shramchenko, V. (2003). Nonautonomous integrable systems associated with Hurwitz spaces in genuses zero and one. 16th International Conference on Nonlinear Evolution Equations and Dynamical Systems, 137(1), 1485–1491.

MLA Style

Kokotov, A, et al. “Nonautonomous Integrable Systems Associated with Hurwitz Spaces in Genuses Zero and One.” 16th International Conference on Nonlinear Evolution Equations and Dynamical Systems, vol. 137, no. 1, 2003, pp. 1485–91.

Chicago Style

Kokotov, A, D Korotkin, and V Shramchenko. 2003. “Nonautonomous Integrable Systems Associated with Hurwitz Spaces in Genuses Zero and One.” In 16th International Conference on Nonlinear Evolution Equations and Dynamical Systems, 137:1485–91.
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Publisher copy:: 10.1023/A:1026017109499

Authors

+ Kokotov, A More by this author

Role:: Author

+ Korotkin, D More by this author

Role:: Author

+ Shramchenko, V More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Journal:: THEORETICAL AND MATHEMATICAL PHYSICS More from this journal
Volume:: 137
Issue:: 1
Pages:: 1485-1491
Publication date:: 2003-10-01
Event title:: 16th International Conference on Nonlinear Evolution Equations and Dynamical Systems
DOI:: 10.1023/A:1026017109499
ISSN:: 0040-5779

Keywords:: Hurwitz spaces

deformations of integrable systems
Pubs id:: pubs:7211
UUID:: uuid:f4bdae91-3ac4-4b33-a4c5-d55c3f7c35a0
Local pid:: pubs:7211
Source identifiers:: 7211
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_f4bdae913ac44b33a4c5d55c3f7c35a0

Terms of use

Copyright date:: 2003

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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