Atlas: One-parametric family of double-scaling limits in the Hermitian matrix model $\Phi^6$ of 2D quantum gravity, and onset of nondissipative shock wave by B. I. Suleimanov

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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