182 citations · 323 across the 27 of their papers we have counts for
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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…
Shifted nonlocal reductions of 5-component Maccari system
Sena Baylı, Aslı Pekcan
In this work, we prove that shifted nonlocal reductions of integrable -dimensional -component Maccari system are particular cases of shifted scale transformations. We pre…
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 -Extension: The KdV Equation
Metin Gürses, Aslı Pekcan
In this work we generalize -extension that has been introduced recently. For illustration we use the KdV equation. We present five different -extensions…