Gregorio Falqui
Publications and Preprints 2000/2005


  1. G. Falqui, On a Camassa-Holm type equation with two dependent variables
    SISSA preprint 35/2005/FM, nlin.SI/0505059, submitted to J. Phys. A Math. Gen.
    PDF file
  2. G. Falqui, M. Pedroni. Gel'fand-Zakharevich Systems and Algebraic Integrability: the Volterra Lattice Revisited
    SISSA preprint 29/2005/FM, Submitted to Reg. & Chao. Dyn.
    nlin.SI/0505018
  3. G. Falqui, F. Musso . On Separation of Variables for Homogeneous SL(r) Gaudin Systems
    SISSA preprint 106/2003/FM, submitted to Math. Phys. Anal. Geom.
    nlin.SI/0402026
  4. G. Falqui, Poisson Pencils, Integrability, and Separation of Variables
    SISSA preprint 90/FM/2003, Phil. Trans. Roy. Soc., to appear.
    nlin.SI/0310028
  5. F. Magri, P. Casati, G. Falqui and M. Pedroni. Eight lectures on Integrable Systems. In: Integrability of Nonlinear Systems, Y. Kosmann-Schwarzbach et al. Eds., Lecture Notes in Physics 495 (2nd edition) p. 209-250, Springer Verlag (Berlin/Heidelberg), (2003).
  6. F. Magri, G. Falqui, M. Pedroni. The method of Poisson pairs in the theory of nonlinear PDEs.
    In: Direct and Inverse Methods in Nonlinear Evolution Equations. Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 5-12, 1999 Lecture Notes in Physics 632, pp. 85 - 136, Springer-Verlag Heidelberg (2003).
    PS file
  7. C. Bartocci, G. Falqui, M. Pedroni, A geometric approach to the separability of the Neumann-Rosochatius system. SISSA preprint 62/2003/FM PS file
  8. G. Falqui, F. Musso, Gaudin Models and Bending Flows: A Geometrical Point of View.
    SISSA preprint 45/2003/FM, PS file , J. Phys. A: Math. Gen., 36 , 11655 - 11676. (2003)
  9. G. Falqui, M. Pedroni, Separation of Variables for Bi-Hamiltonian Systems,
    SISSA preprint 27/2002/FM, nlin.SI/0204029, Math. Phys. Anal. Geom. 6, 139-179, (2003).
  10. G. Falqui, F. Musso, Bi-hamiltonian Geometry and Separation of variables
    for Gaudin Models: a case study.
    In: Symmetry and Perturbation Theory, Proceedings of SPT2002, S. Abenda, G. Gaeta and S. Walcher, editors. World Scientific, Singapore, (2003), pp. 42-50.
  11. G. Falqui, M. Pedroni, On a Poisson Reduction for Gelfand-Zakharevich Manifolds, (nlin.SI/0204050), Rep. of Math. Phys., 50, 395-407 (2002).

  12. G. Falqui, Separation of variables for Lax systems: a bihamiltonian point of view.
     Fourth Italian-Latin American Conference on Applied and Industrial Mathematics (Havana, 2001), 393--403, Inst. Cybern. Math. Phys., Havana, 2001.
    PS file
  13. G. Falqui, Lax representation and Poisson geometry of the Kowalevski top
    SISSA preprint 70/2000/FM.
    J. Phys. A: Math. Gen. 34 (2001), 2077--2085.
    PS file
  14. G. Falqui, C. Reina, A. Zampa. A note on the super Krichever map.
    SISSA preprint 36/2000/FM, nlin.SI/0005062,
    Jour. Geom. Phys. 37 169-181 (2001).

  15. G. Falqui, C. Reina, A. Zampa. Super KP equations and Darboux transformations: another perspective on the Jacobian Super KP hierarchy.
    Jour. Geom. Phys. 35 , 239-272, (2000).
  16. G. Falqui, F. Magri, M. Pedroni. The bihamiltonian approach to separation of variables in mechanics.
    "Non linearity, Integrability, and all that. Twenty years after NEEDS '79", M Boiti, L Martina, F Pempinelli, B Prinari & G Soliani eds.
    World Scientific (Singapore), (2000), pp. 258-266.
    PS file
  17. P. Casati, G. Falqui, M. Pedroni. A note on Fractional KdV Hierarchies. II: the Bihamiltonian structure.
    In: Coherent States, Quantization and Gravity, Proceedings of the XVII-th Workshop On Geometric Methods in Physics, Bialowieza, Poland, July 1998 (M. Schlichenmaier, et. al. eds.), Warsaw: Warsaw University Press, (2001), 319--333.
  18. G. Falqui, F. Magri, M. Pedroni. Bihamiltonian geometry and separation of variables for Toda lattices. SISSA Preprint 139/1999/FM. Jour. Nonlin. Math. Phys., 8 (2001), suppl., 118--127
    PS file
  19. G. Falqui, F. Magri, M. Pedroni, J-P. Zubelli. A Bi-Hamiltonian Theory for Stationary KdV Flows and their Separability. SISSA Preprint 137/1999/FM.
    Regular and Chaotic Dynamics 5, 33-51, (2000)
    PS file
  20. G. Falqui, F. Magri, G. Tondo. Reduction of bihamiltonian systems and separation of variables: an example from the Boussinesq hierarchy.
    Theor. Math. Phys., 122, 212-230, (2000).
  21. G. Falqui, F. Magri, M. Pedroni, J.P. Zubelli. An elementary approach to the polynomial tau-functions of the KP hierarchy.
    Theor. Math. Phys., 122, 23-26, (2000).