On the integrability of (2+ 1)-dimensional quasilinear systems

EV Ferapontov, KR Khusnutdinova - Communications in mathematical …, 2004 - Springer
… n-component one-dimensional systems in Riemann invariants. … approach we classify
integrable (2+1)-dimensional systems of … 3 we classify integrable systems of conservation laws in …

Classifications des systèmes intégrables en dimension 2| Theses. fr

A Toulet - 1996 - theses.fr
Classifications des systèmes intégrables en dimension 2 | Theses.fr …

[图书][B] Integrable Hamiltonian systems: geometry, topology, classification

AV Bolsinov, AT Fomenko - 2004 - taylorfrancis.com
… the foundation of the classification theory and related topics in the topology of integrable
systems. The second part (… geodesic ows of Riemannian metrics on two-dimensional surfaces. …

Symplectic topology of integrable hamiltonian systems, ii: topological classification: dedicated to Professor Charles-Michel Marle

NT Zung - Compositio Mathematica, 2003 - cambridge.org
… system allows us to reduce this non-Abelian structural sheaf to a very nice finite-dimensional
Abelian subsheaf, which we will call the affine monodromy sheaf. Our main characteristic …

Classification of integrable equations on quad-graphs. The consistency approach

VE Adler, AI Bobenko, YB Suris - Communications in Mathematical …, 2003 - Springer
… Generalizations of these ideas to the three–dimensional integrable systems and … 2 we
formulate our main result (Theorem 1), consisting of a complete classification of integrable systems

Invariants symplectiques et semi-classiques des systèmes intégrables avec singularités

V San Ngọc - … Équations aux dérivées partielles (Polytechnique) dit …, 2001 - numdam.org
… Les résultats de classification standard (telles les coordonnées actions-angles semi-… de
dimension 2 de type elliptique (p ¢ x2 ξ2) ou hyperboliques (p ¢ xξ) et à des blocs de dimension

Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity

AV Bolsinov, SV Matveev, AT Fomenko - Uspekhi matematicheskikh …, 1990 - mathnet.ru
… AT Fomenko, “A bordism theory for integrable nondegenerate Hamiltonian systems with two
degrees of freedom. A new topological invariant of higher-dimensional integrable systems”, …

[引用][C] Classification des systèmes intégrables en dimension 2

A Toulet - These, Université de Montpellier II, 1996 - pascal-francis.inist.fr
… Search by classificationClassification des systèmes intégrables en dimension 2 Other
title Classification of integrable systems on two-dimensional sysmplectic manifolds (en) …

Discrete nonlinear hyperbolic equations. Classification of integrable cases

VE Adler, AI Bobenko, YB Suris - Functional Analysis and its Applications, 2009 - Springer
… for two-dimensional systems from the three-dimensional consistency. Thus, the latter
property can be viewed as a definition of integrability. It is a criterion that can be checked in a …

Unified treatment and classification of superintegrable systems with integrals quadratic in momenta on a two-dimensional manifold

C Daskaloyannis, K Ypsilantis - Journal of Mathematical Physics, 2006 - pubs.aip.org
two-dimensional superintegrable systems with quadratic integrals of motion on a manifold
can be classifiedtwo-dimensional integrable classical systems on the plane is given in Refs. …