Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems
Szablikowski, Blazej M. ; Blaszak, Maciej
arXiv, 0510068 / Harvested from arXiv
Text on arXiv
Rational Lax hierarchies introduced by Krichever are generalized. A systematic construction of infinite multi-Hamiltonian hierarchies and related conserved quantities is presented. The method is based on the classical R-matrix approach applied to Poisson algebras. A proof, that Poisson operators constructed near different points of Laurent expansion of Lax functions are equal, is given. All results are illustrated by several examples.
Publié le : 2005-10-26
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Mathematical Physics 
@article{0510068,
     author = {Szablikowski, Blazej M. and Blaszak, Maciej},
     title = {Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian
  dispersionless systems},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510068}
}

Szablikowski, Blazej M.; Blaszak, Maciej. Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian
  dispersionless systems. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510068/