Differential constrains, recursion operators, and logical integrability

Satir, A
Differential constraints compatible with the linearized equations of partial differential equations are examined. Recursion operators are obtained by integrating the differential constraints.


Second order perturbation theory in general relativity: Taub charges as integral constraints
Altas, Emel; Tekin, Bayram (American Physical Society (APS), 2019-05-01)
In a nonlinear theory, such as general relativity, linearized field equations around an exact solution are necessary but not sufficient conditions for linearized solutions. Therefore, the linearized field equations can have some solutions which do not come from the linearization of possible exact solutions. This fact can make the perturbation theory ill defined, which would be a problem both at the classical and semiclassical quantization level. Here we study the first and second order perturbation theory i...
Discrete symmetries and nonlocal reductions
GÜRSES, METİN; Pekcan, Asli; Zheltukhın, Kostyantyn (Elsevier BV, 2020-01-31)
We show that nonlocal reductions of systems of integrable nonlinear partial differential equations are the special discrete symmetry transformations.
Oscillation of even order nonlinear delay dynamic equations on time scales
Erbe, Lynn; Mert, Raziye; Peterson, Allan; Zafer, Ağacık (Institute of Mathematics, Czech Academy of Sciences, 2013-03-01)
One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper we show how such a method can be used for a class of even order delay dynamic equations on time scales via comparison with second order dynamic inequalities. In particular, it is shown that nonexistence of an eventually positive solution of a certain second order delay dynamic inequality is...
Unified treatment of spacelike and timelike SO(3,1) Yang-Mills fields
Dundarer, AR (Springer Science and Business Media LLC, 2001-07-01)
SO(3, 1) valued Yang-mills fields stemming from spacelike and timelike vectors that were studied separately in earlier works are unified by introducing a parameter lambda that takes values in the interval [-1, 1].
Exact polynomial solution of PT-/non-PT-symmetric and non-Hermitian modified Woods-Saxon potential by the Nikiforov-Uvarov method
Ikhdair, Sameer M.; Sever, Ramazan (Springer Science and Business Media LLC, 2007-06-01)
UUsing the Nikiforov-Uvarov ( NU) method, the bound state energy eigenvalues and eigenfunctions of the PT-/non-PT-symmetric and non-Hermitian modified Woods-Saxon (WS) model potential with the real and complex-valued energy levels are obtained in terms of the Jacobi polynomials. According to the PT-symmetric quantum mechanics, we exactly solved the time-independent Schrodinger equation with same potential for the s-states and also for any l-state as well. It is shown that the results are in good agreement w...
Citation Formats
A. Satir, “Differential constrains, recursion operators, and logical integrability,” INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, pp. 2099–2105, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64054.