182 citations · 323 across the 27 of their papers we have counts for
4 papers · 1 filter
-dimensional AKNS() Systems:
Metin Gürses, Aslı Pekcan
In this work we continue to study negative AKNS() that is AKNS() system for . We obtain all possible local and nonlocal reductions of these equations. We construct th…
Discrete Symmetries and Nonlocal Reductions
Metin Gürses, Aslı Pekcan, Konstyantyn Zheltukhin
We show that nonlocal reductions of systems of integrable nonlinear partial differential equations are the special discrete symmetry transformations.
Nonlocal Hydrodynamic Type of Equations
Metin Gürses, Aslı Pekcan, Konstyantyn Zheltukhin
We show that the integrable equations of hydrodynamic type admit nonlocal reductions. We first construct such reductions for a general Lax equation and then give several examples.…
Superposition of the Coupled NLS and MKdV Systems
Metin Gürses, Aslı Pekcan
Superpositions of hierarchies of integrable equations are also integrable. The superposed equations, such as the Hirota equations in the AKNS hierarchy, cannot be considered as new…