34 citations · 69 across the 4 of their papers we have counts for
4 papers
A strange recursion operator for a new integrable system of coupled Korteweg - de Vries equations
Ayse Karasu, Atalay Karasu, S. Yu. Sakovich
A recursion operator is constructed for a new integrable system of coupled Korteweg - de Vries equations by the method of gauge-invariant description of zero-curvature representati…
Prolongation Algebra and Backlund Transformations of Drinfeld-Sokolov System of Equations
Ayse Karasu, Ismet Yurdusen
We show that the Drinfeld-Sokolov system of equations has a nontrivial prolongation structure. The closure process for prolongation algebra gives rise to the sl(4,c) algebra which…
Backlund transformation and special solutions for Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations
Ayse Karasu, S. Yu. Sakovich
Using the Weiss method of truncated singular expansions, we construct an explicit Backlund transformation of the Drinfeld-Sokolov-Satsuma-Hirota system into itself. Then we find al…
Lax Tensors, Killing Tensors and Geometric Duality
Dumitru Baleanu, Ayse Karasu
The solution of the Lax tensor equations in the case was analyzed. The Lax tensors on the dual metrics were investigated. We classified all two dimensional metri…