Motions of curves in the complex hyperbola and the Burgers hierarchy

Fujioka, Atsushi; Kurose, Takashi

Osaka J. Math., Tome 45 (2008) no. 1, p. 1057-1065 / Harvested from Project Euclid

Résumé

We study theory of curves in the complex hyperbola and show that special motions of curves are linked with the Burgers hierarchy, which also leads to a Hamiltonian formulation of the hierarchy and to the difference Burgers equation via their discretization.

Publié le : 2008-12-15
Classification: 35Q53, 37K25, 52C99

@article{1227708833,
     author = {Fujioka, Atsushi and Kurose, Takashi},
     title = {Motions of curves in the complex hyperbola and the Burgers hierarchy},
     journal = {Osaka J. Math.},
     volume = {45},
     number = {1},
     year = {2008},
     pages = { 1057-1065},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1227708833}
}

Fujioka, Atsushi; Kurose, Takashi. Motions of curves in the complex hyperbola and the Burgers hierarchy. Osaka J. Math., Tome 45 (2008) no. 1, pp.  1057-1065. http://gdmltest.u-ga.fr/item/1227708833/