113 citations · 422 across the 34 of their papers we have counts for
35 papers
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…
Almost Universal Metrics
Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin
A metric is called universal if every symmetric conserved rank-two tensor constructed locally from the metric, the curvature, and covariant derivatives of the curvature is proporti…
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…
Geometric Perfect Fluids and Dark Side of the Universe
Metin Gürses, Yaghoub Heydarzade, Çetin Şentürk
Recently we showed that in FLRW cosmology, the contribution from higher curvature terms in any generic metric gravity theory to the energy-momentum tensor is of the perfect fluid f…
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,…