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Autor Medina Reus, Elena |
Documentos disponibles escritos por este autor (35)
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This work is concerned with the following system: [GRAPHICS] which is a model to describe several phenomena in which aggregation plays a crucial role as, for instance, motion of bacteria by chemotaxis and equilibrium of self-attracting clusters.[...]![]()
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An iterative algorithm for determining a class of solutions of the dispersionful 2-Toda hierarchy characterized by string equations is developed. This class includes the solution which underlies the large N-limit of the Hermitian matrix model in[...]![]()
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Álvarez Galindo, Gabriel ; Martínez Alonso, Luis ; Medina Reus, Elena ; Vázquez, Juan Luis | American Institute of Physics | 2020-04-01We consider separatrix solutions of the differential equations for inflaton models with a single scalar field in a zero-curvature Friedmann-Lemaitre-Robertson-Walker universe. The existence and properties of separatrices are investigated in the [...]![]()
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Konopelchenko, Boris ; Martínez Alonso, Luis ; Medina Reus, Elena | American Institute of Physics | 2000-01Integrable hierarchies associated with the singular sector of the Kadomtsev– Petviashvili (KP) hierarchy, or equivalently, with ?? operators of nonzero index are studied. They arise as the restriction of the standard KP hierarchy to submanifolds[...]![]()
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Solutions of the Riemann-Hilbert problem implementing the twistorial structure of the dispersionless Toda (dToda) hierarchy are obtained. Two types of string equations are considered which characterize solutions arising in hodograph sectors and [...]![]()
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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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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[...]