Fundamental transformations for quadrilateral lattices: First potentials and τ-functions, symmetric and pseudo-Egorov reductions

Journal of Physics A: Mathematical and General

Volumn 34, Issue 48, 2001, Pages 10413-10421

  Mañas, Manuel ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035824458     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/48/307     Document Type: Article

References (19)

1. Bobenko A 1996 Symmetries and Integrability of Difference Equations II ed P Clarkson and F Nijhoff (Cambridge: Cambridge University Press) Bobenko A and Pinkall U 1996 J. Diff. Geom. 43 527 Bobenko A and Pinkall U 1996 J. Reine Angew. Math. 475 187 Bobenko A and Schief W K 1998 Discrete Integrable Geometry and Physics ed A Bobenko and R Seiler (Oxford: Oxford University Press)
2. Bobenko A 1996 Symmetries and Integrability of Difference Equations II ed P Clarkson and F Nijhoff (Cambridge: Cambridge University Press) Bobenko A and Pinkall U 1996 J. Diff. Geom. 43 527 Bobenko A and Pinkall U 1996 J. Reine Angew. Math. 475 187 Bobenko A and Schief W K 1998 Discrete Integrable Geometry and Physics ed A Bobenko and R Seiler (Oxford: Oxford University Press)
3. Bobenko A 1996 Symmetries and Integrability of Difference Equations II ed P Clarkson and F Nijhoff (Cambridge: Cambridge University Press) Bobenko A and Pinkall U 1996 J. Diff. Geom. 43 527 Bobenko A and Pinkall U 1996 J. Reine Angew. Math. 475 187 Bobenko A and Schief W K 1998 Discrete Integrable Geometry and Physics ed A Bobenko and R Seiler (Oxford: Oxford University Press)
4. Bobenko A 1996 Symmetries and Integrability of Difference Equations II ed P Clarkson and F Nijhoff (Cambridge: Cambridge University Press) Bobenko A and Pinkall U 1996 J. Diff. Geom. 43 527 Bobenko A and Pinkall U 1996 J. Reine Angew. Math. 475 187 Bobenko A and Schief W K 1998 Discrete Integrable Geometry and Physics ed A Bobenko and R Seiler (Oxford: Oxford University Press)
5. Bogdanov L V and Konopelchenko B G 1995 J. Phys. A: Math. Gen. 28 L173-8
6. Ciesliński J, Doliwa A and Santini P M 1997 Phys. Lett. A 235 480
7. Doliwa A 2000 J. Geom. Phys. 30 169
8. Doliwa A, Mañas M, Martínez Alonso L, Medina E and Santini P M 1999 J. Phys. A: Math. Gen. 32 1197
9. Doliwa A, Manakov S V and Santini PM 1998 Commun. Math. Phys. 196 1
10. Doliwa A, Santini P M and Mañas M 2000 J. Math. Phys. 41 944
11. Doliwa A and Santini P M 1997 Phys. Lett. A 233 365
12. Doliwa A and Santini P M 2000 J. Geom. Phys. 36 60
13. Konopelchenko B G and Schief W K 1998 Proc. R. Soc. A 454 3075
14. Liu Q P and Mañas M 1998 Phys. Lett. A 249 424
15. Mañas M J. Math. Phys. at press
16. Mañas M, Doliwa A and Santini P M 1997 Phys. Lett. A 232 365
17. Martin R R 1986 The Mathematics of Surfaces ed J Gregory (Oxford: Clarendon) Nutborne A W 1986 The Mathematics of Surfaces ed J Gregory (Oxford: Clarendon)
18. Martin R R 1986 The Mathematics of Surfaces ed J Gregory (Oxford: Clarendon) Nutborne A W 1986 The Mathematics of Surfaces ed J Gregory (Oxford: Clarendon)
19. Sauer R 1970 Differenzengeometrie (Berlin: Springer)