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Time Dependent Recursion Operators and Symmetries
Metin Gurses, Atalay Karasu, Refik Turhan
The recursion operators and symmetries of non-autonomous, (1+1)-dimensional integrable evolution equations are considered. It has been previously observed that the symmetries of th…
Integrability of a Generalized Ito System: the Painleve Test
Ayse Karasu, Atalay Karasu, Sergei Sakovich
It is shown that a generalized Ito system of four coupled nonlinear evolution equations passes the Painleve test for integrability in five distinct cases, of which two were introdu…
Non-autonomous Svinolupov Jordan KdV Systems
Metin Gurses, Atalay Karasu, Refik Turhan
Non-autonomous Svinolupov-Jordan systems are considered. The integrability criteria of such systems are associated with the existence of recursion operators. A new non-autonomous K…