108 citations · 530 across the 20 of their papers we have counts for
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On Construction of Recursion Operators From Lax Representation
Metin Gurses, Atalay Karasu, Vladimir Sokolov
In this work we develop a general procedure for constructing the recursion operators fro non-linear integrable equations admitting Lax representation. Svereal new examples are give…
On A Recently Proposed Relation Between oHS and Ito Systems
Atalay Karasu
The bi-Hamiltonian structure of original Hirota-Satsuma system proposed by Roy based on a modification of the bi-Hamiltonian structure of Ito system is incorrect.
Integrable KdV Systems: Recursion Operators of Degree Four
Metin Gurses, Atalay Karasu
The recursion operator and bi-Hamiltonian formulation of the Drinfeld- Sokolov system are given
Integrable Coupled KdV Systems
Metin Gurses, Atalay Karasu
We give the conditions for a system of N- coupled Korteweg de Vries(KdV) type of equations to be integrable. Recursion operators of each subclasses are also given. All examples for…
Variable Coefficient Third Order KdV Type of Equations
Metin Gurses, Atalay Karasu
We show that the integrable subclassess of a class of third order non-autonomous equations are identical with the integrable subclassess of the autonomous ones.