1999/09/13 by M. Hassaïne P. A. Horváthy, Horváthy, M. Hassaïne P. A., J. -C. Yéra +2
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #cond-mat #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/9909017
I realized that this is a duplicate submission of our paper: arXiv:hep-th/0411117
openalex publication_date 1999/09/13 · arxiv created 2016/08/15 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The spacelike reduction of the Chern-Simons Lagrangian yields a modified Nonlinear Schrödinger Equation (jNLS) where in the non-linearity the particle density is replaced by current. When the phase is linear in the position, this latter is an ordinary NLS with time-dependent coefficients which admits interesting solutions, whose arisal is explained by the conformal properties of non-relativistic spacetime. However, only the usual travelling soliton is consistent with the jNLS. Adding a six-order potential converts jnLS into an integrable equation.