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Exactly Solvable Models in Mathematical Physics
August 3-8, 1998
South Ural State University
Chelyabinsk, Russia

Organizers
Anjan Kundu, Alexander B. Borisov, Arlen M. Il'in, Igor G. Korepanov, Vladimir E. Korepin, Yuri G. Stroganov

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One-parametric family of double-scaling limits in the Hermitian matrix model \Phi6 of 2D quantum gravity, and onset of nondissipative shock wave
by
B. I. Suleimanov
Institute of Mathematics, Ufa, Russian Federation
Coauthors: V.E. Adler, V.R. Kudashev

We construct a one-parametric family of double-scaling limits in the Hermitian matrix model \Phi6 of 2D quantum gravity. The known limit of E. Bresin, E. Marinevi and G. Parisi belongs to this family. The family is described by a special exact Gurevich-Pitaevski solution of the Korteweg-de Vries equation.

Date received: February 25, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaw-08.