RT Journal Article T1 The double scaling limit method in the Toda hierarchy A1 Martínez Alonso, Luis A1 Medina Reus, Elena AB 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 analysed 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. PB IOP Publishing Ltd SN 1751-8113 YR 2008 FD 2008-08-22 LK https://hdl.handle.net/20.500.14352/51635 UL https://hdl.handle.net/20.500.14352/51635 LA eng NO ©IOP Publishing Ltd.The authors wish to thank the Spanish Ministerio de Educación y Ciencia (research project FIS2005-00319) and the European Science Foundation (MISGAM programme) for their support. NO Spanish Ministerio de Educación y Ciencia NO European Science Foundation (MISGAM programme) DS Docta Complutense RD 8 abr 2025