Integrable KdV systems: Recursion operators of degree four

Gurses, M
Karasu, Atalay
The recursion operator and bi-Hamiltonian formulation of the Drinfeld-Sokolov system are given. (C) 1999 Elsevier Science B.V.


Divisibility properties on boolean functions using the numerical normal form
Göloğlu, Faruk; Yücel, Melek D; Department of Cryptography (2004)
A Boolean function can be represented in several different forms. These different representation have advantages and disadvantages of their own. The Algebraic Normal Form, truth table, and Walsh spectrum representations are widely studied in literature. In 1999, Claude Carlet and Phillippe Guillot introduced the Numerical Normal Form. NumericalNormal Form(NNF) of a Boolean function is similar to Algebraic Normal Form, with integer coefficients instead of coefficients from the two element field. Using NNF re...
On verification of restricted extended affine equivalence of vectorial boolean functions
Sınak, Ahmet; Özbudak, Ferruh; Yayla, Oğuz; Department of Cryptography (2012)
Vectorial Boolean functions are used as S-boxes in cryptosystems. To design inequivalent vectorial Boolean functions resistant to known attacks is one of the challenges in cryptography. Verifying whether two vectorial Boolean functions are equivalent or not is the final step in this challenge. Hence, finding a fast technique for determining whether two given vectorial Boolean functions are equivalent is an important problem. A special class of the equivalence called restricted extended affine (REA) equivale...
Galois structure of modular forms of even weight
Gurel, E. (Elsevier BV, 2009-10-01)
We calculate the equivariant Euler characteristics of powers of the canonical sheaf on certain modular curves over Z which have a tame action of a finite abelian group. As a consequence, we obtain information on the Galois module structure of modular forms of even weight having Fourier coefficients in certain ideals of rings of cyclotomic algebraic integers. (c) 2009 Elsevier Inc. All rights reserved.
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.
Waterfall region analysis for iterative decoding
Yılmaz, Ali Özgür (2004-12-01)
Finite length analysis of iterative decoders can be done by using probabilistic models based on EXIT charts. The validity of these models will be investigated by checking the performance of iterative decoding under various scenarios.
Citation Formats
M. Gurses and A. Karasu, “Integrable KdV systems: Recursion operators of degree four,” PHYSICS LETTERS A, pp. 247–249, 1999, Accessed: 00, 2020. [Online]. Available: