Dispersionful analogues of Benney's equations and $N$-wave systems
solv-int
2009-10-28 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We recall Krichever's construction of additional flows to Benney's hierarchy, attached to poles at finite distance of the Lax operator. Then we construct a ``dispersionful'' analogue of this hierarchy, in which the role of poles at finite distance is played by Miura fields. We connect this hierarchy with -wave systems, and prove several facts about the latter (Lax representation, Chern-Simons-type Lagrangian, connection with Liouville equation, -functions).
Keywords
Cite
@article{arxiv.solv-int/9510002,
title = {Dispersionful analogues of Benney's equations and $N$-wave systems},
author = {B. Enriquez and A. Yu. Orlov and V. N. Rubtsov},
journal= {arXiv preprint arXiv:solv-int/9510002},
year = {2009}
}
Comments
12 pages, latex, no figures