95 citations · 127 across the 9 of their papers we have counts for
7 papers · 1 filter
A bi-Hamiltonian Integrable Two Component Generalization of the third-Order Burgers Equation
D. Talati, R. Turhan
We announce a new bi-Hamiltonian integrable two-component system admitting the scalar 3rd-order Burgers equation as a reduction.
On Non-Commutative Integrable Burgers Equations
M. Gurses, A. Karasu, R. Turhan
We construct the recursion operators for the non-commutative Burgers equations using their Lax operators. We investigate the existence of any integrable mixed version of left- and…
A new integrable generalization of the Korteweg - de Vries equation
Ayse Karasu-Kalkanli, Atalay Karasu, Anton Sakovich +2
A new integrable sixth-order nonlinear wave equation is discovered by means of the Painleve analysis, which is equivalent to the Korteweg - de Vries equation with a source. A Lax r…
Infinite-Hamiltonian Structures of the Riemann Equation
Refik Turhan
We give two distinct infinite-Hamiltonian representations for the Riemann equation. One with first order Hamiltonian operators and another with third order-first order Hamiltonian…
Non-autonomous Degenerate KdV Systems
Refik Turhan
Non-autonomous degenerate KdV systems in (1+1) dimensions are considered for integrability classification. Integrability of the systems is associated with the existence of a recurs…
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…