113 citations · 422 across the 34 of their papers we have counts for
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Multi-place shifted nonlocal reductions of a multi-component AKNS system
Metin Gürses, Aslı Pekcan
Starting from a multi-component AKNS system, we obtain new shifted nonlocal nonlinear Schrödinger equations. We find 13 different shifted nonlocal nonlinear Schrödinger equations w…
Higher order Hirota bilinear forms
Metin Gürses, Aslı Pekcan
In this paper we study Hirota bilinear forms of the type . We prove that for the equations have three-soliton solutions if only if two o…
Method of -Extension via Frobenius Companion Matrices
Metin Gürses, Aslı Pekcan
Frobenius companion matrices arise when we write an -th order linear ordinary differential equation as a system of first order differential equations. These matrices and their t…
The Method of Hirota Bilinearization
Metin Gürses, Aslı Pekcan
Bilinearization of a given nonlinear partial differential equation is very important not only to find soliton solutions but also to obtain other solutions such as the complexitons,…
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…