Recursion operators of some equations of hydrodynamic type

Download

index.pdf

Date

2001-03-01

Author

GÜRSES, METİN
Zheltukhın, Kostyantyn

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

152
views

0
downloads

We give a general method for constructing recursion operators for some equations of hydrodynamic type, admitting a nonstandard Lax representation. We give several examples for N=2 and N=3 containing the equations of shallow water waves and its generalizations with their first two general symmetries and their recursion operators. We also discuss a reduction of N+1 systems to N systems of some new equations of hydrodynamic type. (C) 2001 American Institute of Physics.

Subject Keywords

Hamiltonian-structure, Construction, Systems

URI

https://hdl.handle.net/11511/38328

Journal

JOURNAL OF MATHEMATICAL PHYSICS

DOI

https://doi.org/10.1063/1.1346597

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

On construction of recursion operators from Lax representation Gurses, M; Karasu, Atalay; Sokolov, VV (1999-12-01) In this work we develop a general procedure for constructing the recursion operators for nonlinear integrable equations admitting Lax representation. Several new examples are given. In particular, we find the recursion operators for some KdV-type systems of integrable equations. (C) 1999 American Institute of Physics. [S0022-2488(99)03212-0].
Integrable KdV systems: Recursion operators of degree four Gurses, M; Karasu, Atalay (1999-01-25) The recursion operator and bi-Hamiltonian formulation of the Drinfeld-Sokolov system are given. (C) 1999 Elsevier Science B.V.
Equivariant Picard groups of the moduli spaces of some finite Abelian covers of the Riemann sphere Ozan, Yıldıray (2023-03-01) In this note, following Kordek's work we will compute the equivariant Picard groups of the moduli spaces of Riemann surfaces with certain finite abelian symmetries.
Asymptotic Behavior of Lotz-Rabiger and Martingale Nets Emelyanov, Eduard (2010-09-01) Using Theorem 1 (of convergence) in [1], we prove several results on LR- and M-nets by a unified approach to these nets that appear as the two extreme types of asymptotically abelian nets.
Local operator spaces, unbounded operators and multinormed C*-algebras Dosiev, Anar (Elsevier BV, 2008-10-01) In this paper we propose a representation theorem for local operator spaces which extends Ruan's representation theorem for operator spaces. Based upon this result, we introduce local operator systems which are locally convex versions of the operator systems and prove Stinespring theorem for local operator systems. A local operator C*-algebra is an example of a local operator system. Finally, we investigate the injectivity in both local operator space and local operator system senses, and prove locally conv...

Citation Formats

M. GÜRSES and K. Zheltukhın, “Recursion operators of some equations of hydrodynamic type,” JOURNAL OF MATHEMATICAL PHYSICS, pp. 1309–1325, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38328.