343 citations · 534 across the 25 of their papers we have counts for
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A focusing-defocusing intermediate nonlinear Schrödinger system
Bjorn K. Berntson, Alexander Fagerlund
We introduce and study a system of coupled nonlocal nonlinear Schrödinger equations that interpolates between the mixed, focusing-defocusing Manakov system on one hand and a limiti…
Elliptic soliton solutions of the spin non-chiral intermediate long-wave equation
Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
We construct elliptic multi-soliton solutions of the spin non-chiral intermediate long-wave (sncILW) equation with periodic boundary conditions. These solutions are obtained by a s…
Consistency of the Bäcklund transformation for the spin Calogero-Moser system
Bjorn K. Berntson
We prove the consistency of the Bäcklund transformation (BT) for the spin Calogero-Moser (sCM) system in the rational, trigonometric, and hyperbolic cases. The BT for the sCM syste…
Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics
Bjorn K. Berntson, Rob Klabbers
We present a class of periodic solutions of the non-chiral intermediate Heisenberg ferromagnet (ncIHF) equation, which was recently introduced by the authors together with Langmann…
Spin generalizations of the Benjamin-Ono equation
Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
We present new soliton equations related to the -type spin Calogero-Moser (CM) systems introduced by Gibbons and Hermsen. These equations are spin generalizations of the Benjami…