Degenerate Svinolupov KdV systems

Download

index.pdf

Date

1996-05-06

Author

Gurses, M
Karasu, Atalay

Metadata

Show full item record

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

Item Usage Stats

94
views

44
downloads

We find infinitely many coupled systems of KdV type equations which are integrable. We give also their recursion operators.

Subject Keywords

Physics, Multidisciplinary

URI

https://hdl.handle.net/11511/36672

Journal

PHYSICS LETTERS A

DOI

https://doi.org/10.1016/0375-9601(96)00171-5

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Hamilton-Jacobi theory of discrete, regular constrained systems Güler, Y. (Springer Science and Business Media LLC, 1987-8) The Hamilton-Jacobi differential equation of a discrete system with constraint equationsG α=0 is constructed making use of Carathéodory’s equivalent Lagrangian method. Introduction of Lagrange’s multipliersλ˙α as generalized velocities enables us to treat the constraint functionsG α as the generalized momenta conjugate toλ˙α. Canonical equations of motion are determined.
HARMONIC MAPS AND MAGNETOSTATIC, AXIALLY-SYMMETRICAL SOLUTIONS OF THE KALUZA-KLEIN THEORY DERELI, T; ERIS, A; ERIS, A; Karasu, Atalay (1986-05-01) Magnetostatic, axially symmetric 5-dimensional vacuum Einstein equations are formulated in terms of harmonic maps. A correspondence between stationary, axially symmetric 4-dimensional vacuum Einstein solutions and the magnetostatic, axially symmetric Jordan-Thiry solutions is established. The «Kaluza-Klein magnetic monopole» solution is recovered in a special case.
PROLONGATION STRUCTURE AND PAINLEVE PROPERTY OF THE GURSES-NUTKU EQUATIONS Kalkanlı, AK (Springer Science and Business Media LLC, 1987-11) It is shown that the Gürses-Nutku equations have a finite prolongation algebra for any value of the parameterK. The Painlevé property of these equations is also examined.
Cartan matrices and integrable lattice Toda field equations Habibullin, Ismagil; Zheltukhın, Kostyantyn; Yangubaeva, Marina (IOP Publishing, 2011-11-18) Differential-difference integrable exponential-type systems are studied corresponding to the Cartan matrices of semi-simple or affine Lie algebras. For the systems corresponding to the algebras A(2), B(2), C(2), G(2), the complete sets of integrals in both directions are found. For the simple Lie algebras of the classical series A(N), B(N), C(N) and affine algebras of series D(N)((2)), the corresponding systems are supplied with the Lax representation.
Numerical studies of the electronic properties of low dimensional semiconductor heterostructures Dikmen, Bora; Tomak, Mehmet; Department of Physics (2004) An efficient numerical method for solving Schrödinger's and Poisson's equations using a basis set of cubic B-splines is investigated. The method is applied to find both the wave functions and the corresponding eigenenergies of low-dimensional semiconductor structures. The computational efficiency of the method is explicitly shown by the multiresolution analysis, non-uniform grid construction and imposed boundary conditions by applying it to well-known single electron potentials. The method compares well wit...

Citation Formats

M. Gurses and A. Karasu, “Degenerate Svinolupov KdV systems,” PHYSICS LETTERS A, pp. 21–26, 1996, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36672.