Integrable systems on quad-graphs

International Mathematics Research Notices

Volumn , Issue 11, 2002, Pages 573-611

  Bobenko, Alexander I ^a   Suris, Yuri B ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036373495     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792802110075     Document Type: Article

References (24)

1. Bäcklund transformation for the Krichever-Novikov equation
2. Legendre transforms on a triangular lattice
3. Discrete equations on planar graphs
4. Hexagonal circle patterns and integrable systems: Patterns with the multi-ratio property and Lax equations on the regular triangular lattice
5. Discrete isothermic surfaces
6. Discrete surfaces with constant negative Gaussian curvature and the Hirota equation
7. Discretization of surfaces and integrable systems
8. Hirota equation as an example of an integrable symplectic map
9. Nonlinear partial difference equations. I. A difference analogue of the Korteweg-de Vries equation
10. Nonlinear partial difference equations. III. Discrete sine-Gordon equation
11. Elliptic analog of the Toda lattice
12. Holomorphic bundles over algebraic curves, and nonlinear equations
13. Trivalent graphs and solitons
14. Discrete Riemann surfaces and the Ising model
15. The discrete Korteweg-de Vries equation
16. Direct linearization of nonlinear difference-difference equations
17. Discrete spectral symmetries of small-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds
18. Discrete Lagrangian systems on graphs. Symplecto-topological properties
19. Two-dimensional algebro-geometric difference operators
20. Newintegrable systems related to the relativistic Toda lattice
21. n) transformation