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Construction of eigenfunctions for the elliptic Ruijsenaars difference operators
Edwin Langmann, Masatoshi Noumi, Junichi Shiraishi
We present a perturbative construction of two kinds of eigenfunctions of the commuting family of difference operators defining the elliptic Ruijsenaars system. The first kind corre…
Multi-solitons of the half-wave maps equation and Calogero-Moser spin-pole dynamics
Bjorn K. Berntson, Rob Klabbers, Edwin Langmann
We consider the half-wave maps (HWM) equation which provides a continuum description of the classical Haldane-Shastry spin chain on the real line. We present exact multi-soliton so…
Basic Properties of Non-Stationary Ruijsenaars Functions
Edwin Langmann, Masatoshi Noumi, Junichi Shiraishi
For any variable number, a non-stationary Ruijsenaars function was recently introduced as a natural generalization of an explicitly known asymptotically free solution of the trigon…
On the non-chiral intermediate long wave equation
Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
We study integrability properties of the non-chiral intermediate long wave equation recently introduced by the authors as a parity-invariant variant of the intermediate long wave e…
Non-chiral Intermediate Long Wave equation and inter-edge effects in narrow quantum Hall systems
Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
We present a non-chiral version of the Intermediate Long Wave (ILW) equation that can model nonlinear waves propagating on two opposite edges of a quantum Hall system, taking into…