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On the mKdV-Liouville hierarchy and its self-similarity reduction
(Elsevier B.V., 2015-01-01)
Integrable mixed models have been used as a generalization of traditional integrable models. However, a map from a traditional integrable model to a mixed integrable model is not well understood yet. Here, it is studied ...
On the mKdV-Liouville hierarchy and its self-similarity reduction
(Elsevier B.V., 2015)
On the mKdV-Liouville hierarchy and its self-similarity reduction
(Elsevier B.V., 2015)
Toda lattice field theories, discrete W algebras, Toda lattice hierarchies and quantum groups
(1996-10-31)
In analogy with the Liouville case we study the sl3 Toda theory on the lattice and define the relevant quadratic algebra and out of it we recover the discrete W3 algebra. We define an integrable system with respect to the ...
Toda lattice field theories, discrete W algebras, Toda lattice hierarchies and quantum groups
(1996-10-31)
In analogy with the Liouville case we study the sl3 Toda theory on the lattice and define the relevant quadratic algebra and out of it we recover the discrete W3 algebra. We define an integrable system with respect to the ...
Asymptotic Stability of High-dimensional Zakharov-Kuznetsov Solitons
(2016)
We prove that solitons (or solitary waves) of the Zakharov-Kuznetsov (ZK) equation, a physically relevant high dimensional generalization of the Kortewegde Vries (KdV) equation appearing in Plasma Physics, and having mixed ...
Equações de Painlevé mistas e modelo PIII-PV simétrico
(Universidade Estadual Paulista (Unesp), 2015-03-31)
This thesis studies the connection among integrable models and Painlev'e equations. We begin by extending the modified truncation approach in order to find B¨acklund transformations for the mKdV-Liouville hierarchy and its ...
Decay of solutions of dispersive equations and Poisson brackets in algebraic geometry
(2017-01-27)
In the first part of this work we will study the spatial decay of solutions of nonlinear dispersive equations. The starting point will be the Korteweg-de Vries (KdV) equation, for which it will be proved that a decay of ...