On construction of recursion operators from Lax representation

Download

index.pdf

Date

1999-12-01

Author

Gurses, M
Karasu, Atalay
Sokolov, VV

Metadata

Show full item record

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

Item Usage Stats

234
views

0
downloads

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].

Subject Keywords

Bi-hamiltonian structures, Devries type equations, KDV equation, Multidimensions, Symmetries; Systems, Integrability

URI

https://hdl.handle.net/11511/35370

Journal

JOURNAL OF MATHEMATICAL PHYSICS

DOI

https://doi.org/10.1063/1.533102

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

On the consistency of the solutions of the space fractional Schroumldinger equation (vol 53, 042105, 2012) Bayin, Selcuk S. (2012-08-01) Recently we have reanalyzed the consistency of the solutions of the space fractional Schroumldinger equation found in a piecewise manner, and showed that an exact and a proper treatment of the relevant integrals prove that they are consistent. In this comment, for clarity, we present additional information about the critical integrals and describe how their analytic continuation is accomplished.
Recursion operators of some equations of hydrodynamic type GÜRSES, METİN; Zheltukhın, Kostyantyn (2001-03-01) 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.
Studies on the perturbation problems in quantum mechanics Koca, Burcu; Taşeli, Hasan; Department of Mathematics (2004) In this thesis, the main perturbation problems encountered in quantum mechanics have been studied.Since the special functions and orthogonal polynomials appear very extensively in such problems, we emphasize on those topics as well. In this context, the classical quantum mechanical anharmonic oscillators described mathematically by the one-dimensional Schrodinger equation have been treated perturbatively in both finite and infinite intervals, corresponding to confined and non-confined systems, respectively.
Painleve classification of coupled Korteweg-de Vries systems Karasu, Emine Ayşe (1997-07-01) In this work, we give a classification of coupled Korteweg-de Vries equations. We found new systems of equations that are completely integrable in the sense of Painleve. (C) 1997 American Institute of Physics.
On the accuracy of MFIE and CFIE in the solution of large electromagnetic scattering problems Ergül, Özgür Salih (null; 2006-11-10) We present the linear-linear (LL) basis functions to improve the accuracy of the magnetic-field integral equation (MFIE) and the combined-field integral equation (CFIE) for three-dimensional electromagnetic scattering problems involving large scatterers. MFIE and CFIE with the conventional Rao-Wilton-Glisson (RWG) basis functions are significantly inaccurate even for large and smooth geometries, such as a sphere, compared to the solutions by the electric-field integral equation (EFIE). By using the LL funct...

Citation Formats

M. Gurses, A. Karasu, and V. Sokolov, “On construction of recursion operators from Lax representation,” JOURNAL OF MATHEMATICAL PHYSICS, pp. 6473–6490, 1999, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35370.