The double scaling limit method in the Toda hierarchy
Exactly Solvable and Integrable Systems
2009-11-13 v1
Abstract
Critical points of semiclassical expansions of solutions to the dispersionful Toda hierarchy are considered and a double scaling limit method of regularization is formulated. The analogues of the critical points characterized by the strong conditions in the Hermitian matrix model are analyzed and the property of doubling of equations is proved. A wide family of sets of critical points is introduced and the corresponding double scaling limit expansions are discussed.
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Cite
@article{arxiv.0804.3498,
title = {The double scaling limit method in the Toda hierarchy},
author = {L. Martinez Alonso and E. Medina},
journal= {arXiv preprint arXiv:0804.3498},
year = {2009}
}
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20 pages