Integrable systems and classification of 2-dimensional topological field theories

B Dubrovin - Integrable Systems: The Verdier Memorial Conference …, 1993 - Springer
integrable systems as defining relations of 2-dimensional topological field theory. A complete
classification … at tree level) via certain integrable bihamiltonian hierarchies of hydrodynamic …

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 …

A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom

AV Bolsinov - Sbornik: Mathematics, 1995 - iopscience.iop.org
… There we obtained a classification of Hamiltonian systems into two-dimensional atoms up
to continuous conjugacy. Clearly in the smooth case new, more precise, invariants should …

Classification of four-dimensional integrable Hamiltonian systems and Poisson actions of in extended neighborhoods of simple singular points. I

LM Lerman, YL Umanskiĭ - Sbornik: Mathematics, 1994 - iopscience.iop.org
… We obtain a one-parameter family of two-dimensional Hamiltonian systems with Hamiltonian
hk , depending smoothly on a parameter λ (λ parameterizes the levels of the integral Hi), …

Classification of integrable polynomial vector evolution equations

VV Sokolov, T Wolf - Journal of Physics A: Mathematical and …, 2001 - iopscience.iop.org
… We shall consider equations (14) that are integrable for any dimension N. In … Integrable
equations with two vector unknowns In this section we classify integrable vector NLS-type systems

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