7 citations · 9 across the 3 of their papers we have counts for
12 papers
Local and nonlocal -dimensional Maccari systems and their soliton solutions
Aslı Pekcan
In this work, by using the Hirota bilinear method, we obtain one- and two-soliton solutions of integrable -dimensional -component Maccari system which is used as a model…
Nonlocal KdV Equations
Metin Gürses, Aslı Pekcan
Writing the Hirota-Satsuma (HS) system of equations in a symmetrical form we find its local and new nonlocal reductions. It turns out that all reductions of the HS system are Korte…
Hirota bilinear forms of the AKNS() systems
Metin Gürses, Aslı Pekcan
We study the AKNS() hierarchy for . We give the Hirota bilinear forms of these systems and present local and nonlocal reductions of them. We give the Hirota bilinear…
-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.…