6 papers
Loop-type geometric folding of exact solutions of shifted nonlocal NLS and MKdV equations
Aslı Pekcan
Based on the notion of foldon, we introduce a geometric framework for constructing folded parametric wave representations of exact solutions of some shifted nonlocal nonlinear Schr…
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…
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…