34 citations · 69 across the 4 of their papers we have counts for
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nlin.SI2002★ 24 cited
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…
nlin.SI2001★ 3 cited
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…
nlin.SI2001★ 34 cited
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…