One-Parametric Family of the Double-Scaling Limits in the Hermitian Matrix Model $Φ^6:$ Onset of Nondissipative Shock Waves

Details One-Parametric Family of the Double-Scaling Limits in the Hermitian Matrix Model $Φ^6:$ Onset of Nondissipative Shock Waves One-Parametric Family of the Double-Scaling Limits in the Hermitian Matrix Model $Φ^6:$ Onset of Nondissipative Shock Waves

1998-11-02

arxiv.org/abs/hep-th/9811007v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, latex, 20k; e-mail: kudashev@imat.rb.ru, bis@imat.rb.ru

Scientific paper

We construct a one-parametric family of the double-scaling limits in the hermitian matrix model $\Phi^6$ for 2D quantum gravity. The known limit of Bresin, Marinari and Parisi belongs to this family. The family is represented by the Gurevich-Pitaevskii solution of the Korteveg-de Vries equation which describes the onset of nondissipative shock waves in media with small dispersion. Numerical simulation of the universal Gurevich-Pitaevskii solution is made.

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