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20112026
most citedNonlocal Nonlinear Schrödinger Equations and Their Soliton Solutions

182 citations · 323 across the 27 of their papers we have counts for

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3 papers · 1 filter

nlin.SI2018★ 9 cited

Nonlocal Coupled HI-MKdV Systems

Aslı Pekcan

We first study coupled Hirota-Iwao modified KdV (HI-mKdV) systems and give all possible local and nonlocal reductions of these systems. We then present Hirota bilinear forms of the…

nlin.SI2018★ 24 cited

-Dimensional Local and Nonlocal Reductions of the Negative AKNS System: Soliton Solutions

Metin Gürses, Aslı Pekcan

We first construct a -dimensional negative AKNS hierarchy and then we give all possible local and (discrete) nonlocal reductions of these equations. We find Hirota bilinear…

nlin.SI2018

Integrable Nonlocal Reductions

Metin Gürses, Aslı Pekcan

We present some nonlocal integrable systems by using the Ablowitz-Musslimani nonlocal reductions. We first present all possible nonlocal reductions of nonlinear Schrödinger (NLS) a…