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 Izv. Akad. Nauk SSSR Ser. Mat., 1985, Volume 49, Issue 3, Pages 530–565 (Mi izv1365)

“Isomonodromy” solutions of equations of zero curvature

A. R. Its

Abstract: A detailed discussion is given of the analytic properties (explicit description, asymptotic representations, etc.) of a new class of solutions of completely integrable evolution systems – the class of “isomonodromy solutions” – introduced in recent works of a group of Japanese mathematicians: M. Sato, M. Jimbo, T. Miwa, and others. The role of the concept of an isomonodromy solution is demonstrated in such important questions of the theory of equations of zero curvature as finding the time asymptotics of solutions of corresponding Cauchy problems in the class of rapidly decreasing initial data.
Bibliography: 30 titles.

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English version:
Mathematics of the USSR-Izvestiya, 1986, 26:3, 497–529

Bibliographic databases:

UDC: 517.946
MSC: Primary 35Q20; Secondary 30E25, 30E15

Citation: A. R. Its, ““Isomonodromy” solutions of equations of zero curvature”, Izv. Akad. Nauk SSSR Ser. Mat., 49:3 (1985), 530–565; Math. USSR-Izv., 26:3 (1986), 497–529

Citation in format AMSBIB
\Bibitem{Its85} \by A.~R.~Its \paper Isomonodromy'' solutions of equations of zero curvature \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1985 \vol 49 \issue 3 \pages 530--565 \mathnet{http://mi.mathnet.ru/izv1365} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=794955} \zmath{https://zbmath.org/?q=an:0657.35121|0589.35087} \transl \jour Math. USSR-Izv. \yr 1986 \vol 26 \issue 3 \pages 497--529 \crossref{https://doi.org/10.1070/IM1986v026n03ABEH001157} 

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This publication is cited in the following articles:
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