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This is the second part of a paper describing a new concept of separation of variables applied to the classical Clebsch integrable case. The quadratures obtained in Part I (also uploaded in arXiv.org) lead to a new type of the Abel map which contains
Externí odkaz:
http://arxiv.org/abs/2102.03599
This is the first part of a two-part paper describing a new concept of separation of variables applied to the Clebsch integrable case of the Kirchhoff equations. There are two principal novelties: 1) Separating coordinates are constructed (not guesse
Externí odkaz:
http://arxiv.org/abs/2102.03445
Akademický článek
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Autor:
Seferian, A., De Lucia, S., Tachibana, S., Jollet, A., Mouffak, S., Pedemonte, M., Brolatti, N., Morando, S., Vanlander, A., De Vos, E., Tahon, V., Govoni, A., Magri, F., Comi, G., Foa, M., Parente, V., Buscemi, L., Dal Farra, F., Schneider, O., Jonas, A., Defeldre, A.C., Pagliano, E., Zanin, R., Arnoldi, M.T., Schembri, V., Del Sole, M., Mandelli, A., Pera, M.C., Antonaci, L., Coratti, G., de Sanctis, R., Pane, M., Scoto, M., Groves, K., Edel, L., Abel, F., Van Ruiten, H., Lofra, R.M., Thompson, E., Mercuri, Eugenio *, Muntoni, Francesco, Baranello, Giovanni, Masson, Riccardo, Boespflug-Tanguy, Odile, Bruno, Claudio, Corti, Stefania, Daron, Aurore, Deconinck, Nicolas, Servais, Laurent, Straub, Volker, Ouyang, Haojun, Chand, Deepa, Tauscher-Wisniewski, Sitra, Mendonca, Nuno, Lavrov, Arseniy
Publikováno v:
In The Lancet Neurology October 2021 20(10):832-841
Akademický článek
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Autor:
Konopelchenko, B. G., Magri, F.
Interpretation of dispersionless integrable hierarchies as equations of coisotropic deformations for certain algebras and other algebraic structures like Jordan triple systInterpretation of dispersionless integrable hierarchies as equations of coisot
Externí odkaz:
http://arxiv.org/abs/nlin/0608010
Autor:
Konopelchenko, B. G., Magri, F.
The paper is an inquiry of the algebraic foundations of the theory of dispersionless integrable hierarchies, like the dispersionless KP and modified KP hierarchies and the universal Whitham's hierarchy of genus zero. It stands out for the idea of int
Externí odkaz:
http://arxiv.org/abs/nlin/0606069
The aim of these lectures is to show that the methods of classical Hamiltonian mechanics can be profitably used to solve certain classes of nonlinear partial differential equations. The prototype of these equations is the well-known Korteweg-de Vries
Externí odkaz:
http://arxiv.org/abs/nlin/0002009
We discuss the bihamiltonian geometry of the Toda lattice (periodic and open). Using some recent results on the separation of variables for bihamiltonian manifolds, we show that these systems can be explicitly integrated via the classical Hamilton-Ja
Externí odkaz:
http://arxiv.org/abs/nlin/0002008
We discuss the Boussinesq system with $t_5$ stationary, within a general framework for the analysis of stationary flows of n-Gel'fand-Dickey hierarchies. We show how a careful use of its bihamiltonian structure can be used to provide a set of separat
Externí odkaz:
http://arxiv.org/abs/solv-int/9906009