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math-ph2020
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…
math-ph2020
Toward Classification of 2nd Order Superintegrable Systems in 3-Dimensional Conformally Flat Spaces with Functionally Linearly Dependent Symmetry Operators
Bjorn K. Berntson, Ernest G. Kalnins, Willard Miller
We make significant progress toward the classification of 2nd order superintegrable systems on 3-dimensional conformally flat space that have functionally linearly dependent (FLD)…
math-ph2020
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…