95 citations · 127 across the 9 of their papers we have counts for
9 papers
On integrability of some bi-Hamiltonian two field systems of PDE
Alberto De Sole, Victor G. Kac, Refik Turhan
We continue the study of integrability of bi-Hamiltonian systems with a compatible pair of local Poisson structures (H_0,H_1), where H_0 is a strongly skew-adjoint operator. This i…
A new approach to the Lenard-Magri scheme of integrability
Alberto De Sole, Victor G. Kac, Refik Turhan
We develop a new approach to the Lenard-Magri scheme of integrability of bi-Hamiltonian PDE's, when one of the Poisson structures is a strongly skew-adjoint differential operator.
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…