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Autor Martínez Alonso, Luis |
Documentos disponibles escritos por este autor (62)
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Martínez Alonso, Luis ; Medina Reus, Elena ; Mañas Baena, Manuel | American Institute of Physics | 2006-08A scheme for solving Whitham hierarchies satisfying a special class of string equations is presented. The ?-functions of the corresponding solutions is obtained and the differential expressions of the underlying Virasoro constraints are characte[...]![]()
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Martínez Alonso, Luis ; Medina Reus, Elena ; Mañas Baena, Manuel | American Institute of Physics | 2006-08A scheme for solving Whitham hierarchies satisfying a special class of string equations is presented. The tau-function of the corresponding solutions is obtained and the differential expressions of the underlying Virasoro constraints are charact[...]![]()
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We study the superpotentials, quantum parameter space and phase transitions that arise in the study of large N dualities between N = 1 SUSY U(N) gauge theories and string models on local Calabi-Yau manifolds. The main tool of our analysis is a n[...]![]()
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We consider the Manin-Radul and Jacobian supersymmetric KP hierarchies from the point of view of the tau-function formalism. Solutions of their associated systems of Sato equations are characterized in terms of correlation functions of supersymm[...]![]()
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The dispersionless limit of the scalar nonlocal a-problem is derived. It is given by a special class of nonlinear first-order equations. A quasiclassical version of the partial derivative -dressing method is presented. It is shown that the algeb[...]![]()
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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 condi[...]![]()
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A systematic reformulation of the KP hierarchy by using continuous Miwa variables is presented. Basic quantities and relations are defined and determinantal expressions for Fay's identities an obtained. It is shown that in terms of these variabl[...]![]()
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The multicomponent 2D Toda hierarchy is analyzed through a factorization problem associated with an infinite-dimensional group. A new set of discrete flows is considered and the corresponding Lax and Zakharov-Shabat equations are characterized. [...]![]()
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The factorization problem of the multi-component 2D Toda hierarchy is used to analyze the dispersionless limit of this hierarchy. A dispersive version of the Whitham hierarchy defined in terms of scalar Lax and Orlov-Schulman operators is introd[...]![]()
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Guil Guerrero, Francisco ; Mañas Baena, Manuel ; Martínez Alonso, Luis | IOP Publishing | 2003-04-11A general scheme for analysing reductions of Whitham hierarchies is presented. It is based on a method for determining the S-function by means of a system of first-order partial differential equations. Compatibility systems of differential equat[...]![]()
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We present a theory of compatible differential constraints of a hydrodynamic hierarchy of infinite-dimensional systems. It provides a convenient point of view for studying and formulating integrability properties and it reveals some hidden struc[...]![]()
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Trace identities arising in the scattering theory of one-dimensional matrix Schrodinger operators are deduced. They derive from the properties of an asymptotic expansion of the trace of the resolvent kernel in inverse powers of the spectral para[...]