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Displaying 1 – 20 of 246

$𝒟$ -bundles and integrable hierarchies

David Ben-Zvi, Thomas Nevins (2011)

Journal of the European Mathematical Society

We study the geometry of $𝒟$ -bundles—locally projective $𝒟$ -modules—on algebraic curves, and apply them to the study of integrable hierarchies, specifically the multicomponent Kadomtsev–Petviashvili (KP) and spin Calogero–Moser (CM) hierarchies. We show that KP hierarchies have a geometric description as flows on moduli spaces of $𝒟$ -bundles; in particular, we prove that the local structure of $𝒟$ -bundles is captured by the full Sato Grassmannian. The rational, trigonometric, and elliptic solutions of KP...

A Bäcklund transformation for the Burgers hierarchy.

Cao, Xifang, Xu, Chuanyou (2010)

Abstract and Applied Analysis

A critical phenomenon in solitonic Ising chains.

Loutsenko, Igor M., Spiridonov, Vyacheslav P. (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

A dynamical system connected with inhomogeneous 6-vertex model

И. Г. Корепанов (1994)

Zapiski naucnych seminarov POMI

A gentle (without chopping) approach to the full Kostant-Toda lattice.

Damianou, Pantelis A., Magri, Franco (2005)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

A new hierarchy of integrable system of $1 + 2$ dimensions: from Newton's law to generalized Hamiltonian system. II.

Huang, Xuncheng, Tu, Guizhang (2006)

International Journal of Mathematics and Mathematical Sciences

A note on the rotationally symmetric SO(4) Euler rigid body.

Falqui, Gregorio (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

A numerical scheme using multi-shockpeakons to compute solutions of the Degasperis-Procesi equation.

Hoel, Hakon A. (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence

Oleg Morozov (2014)

Open Mathematics

We apply Cartan’s method of equivalence to find a Bäcklund autotransformation for the tangent covering of the universal hierarchy equation. The transformation provides a recursion operator for symmetries of this equation.

A special case of the Garnier system, $(1, 4)$ -polarized abelian surfaces and their moduli

Pol Vanhaecke (1994)

Compositio Mathematica

A vertex operator approach for form factors of Belavin's $(ℤ / n ℤ)$ -symmetric model and its application.

Quano, Yas-Hiro (2011)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

A Vey theorem for nonlinear PDE

Sergei Kuksin, Galina Perelman (2009/2010)

Séminaire Équations aux dérivées partielles

Abelian surfaces and Kowalewski's top

A. Lesfari (1988)

Annales scientifiques de l'École Normale Supérieure

A-cohomologie et opérateurs de récursion

D. Gutkin (1987)

Annales de l'I.H.P. Physique théorique

Action-angle coordinates at singularities for analytic integrable systems.

Hidekazu Ito (1991)

Mathematische Zeitschrift

Actions localement libres de groupes résolubles

Michel Belliart, Olivier Birembaux (1994)

Annales de l'institut Fourier

Soient $G$ un groupe de Lie connexe de dimension $n - 1$ , $Φ$ une action localement libre de classe $C^{r} (r \geq 2)$ de $G$ sur une variété compacte $M$ de dimension $n \geq 3$ . Nous supposons qu’il existe dans l’algèbre de Lie de $G$ un champ $Y$ tel que les valeurs propres de $ad (Y)$ soient $α_{1}, ..., α_{n - 2}, 0$ avec $Re (α_{i}) < 0 \forall i$ . Alors, nous montrons que $Φ$ est $C^{r}$ -conjuguée à une “action modèle" de $G$ sur un espace homogène $H / Γ$ où $H$ est un groupe de Lie contenant $G$ . Si $n \geq 4$ , $H$ est uniquement déterminé par $G$ ; si $n = 3$ , il y a deux groupes $H$ possibles, et nous pouvons donc donner une...

Currently displaying 1 – 20 of 246

Page 1 Next

Displaying 1 – 20 of 246

$𝒟$ -bundles and integrable hierarchies

A Bäcklund transformation for the Burgers hierarchy.

A critical phenomenon in solitonic Ising chains.

A dynamical system connected with inhomogeneous 6-vertex model

A gentle (without chopping) approach to the full Kostant-Toda lattice.

A new hierarchy of integrable system of $1 + 2$ dimensions: from Newton's law to generalized Hamiltonian system. II.

A note on the rotationally symmetric SO(4) Euler rigid body.

A numerical scheme using multi-shockpeakons to compute solutions of the Degasperis-Procesi equation.

A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence

A special case of the Garnier system, $(1, 4)$ -polarized abelian surfaces and their moduli

A vertex operator approach for form factors of Belavin's $(ℤ / n ℤ)$ -symmetric model and its application.

A Vey theorem for nonlinear PDE

Abelian surfaces and Kowalewski's top

A-cohomologie et opérateurs de récursion

Action-angle coordinates at singularities for analytic integrable systems.

Actions localement libres de groupes résolubles

Addendum: Systems of Toda Type, Inverse Spectral Problems, and Representation Theory.

Algebraic integrability of Schrodinger operators and representations of Lie algebras

Algebraic non-integrability of the Cohen map.

Algebraically completely integrable systems and Kummer varieties.

Currently displaying 1 – 20 of 246