Nonisothermal filtration and seismic acoustics in porous soil: Thermoviscoelastic equations and Lamé equations |
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Authors: | A M Meirmanov |
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Institution: | (1) Steklov Mathematical Institute, ul. Gubkina 8, Moscow, 119991, Russia;(2) Independent University of Moscow, Bol’shoi Vlas’evskii per. 11, Moscow, 119002, Russia |
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Abstract: | We study applications of a new class of infinite-dimensional Lie algebras, called Lax operator algebras, which goes back to the works by I. Krichever and S. Novikov on finite-zone integration related to holomorphic vector bundles
and on Lie algebras on Riemann surfaces. Lax operator algebras are almost graded Lie algebras of current type. They were introduced
by I. Krichever and the author as a development of the theory of Lax operators on Riemann surfaces due to I. Krichever, and
further investigated in a joint paper by M. Schlichenmaier and the author. In this article we construct integrable hierarchies
of Lax equations of that type.
Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Vol. 263, pp. 216–226.
Dedicated to S.P. Novikov on the occasion of his 70th birthday |
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