Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2008-04-22
Nonlinear Sciences
Exactly Solvable and Integrable Systems
20 pages
Scientific paper
10.1088/1751-8113/41/33/335202
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.
Alonso Martinez L.
Medina Elena
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