The double scaling limit method in the Toda hierarchy

Details The double scaling limit method in the Toda hierarchy The double scaling limit method in the Toda hierarchy

2008-04-22

arxiv.org/abs/0804.3498v1

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.

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