3 papers
nlin.SI2026
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…
nlin.SI2025
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…
nlin.SI2025
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…