2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52888The 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. Their arisal is explained by the conformal properties of non-relativistic spacetime. Only the usual travelling soliton is consistent with the jNLS, but the addition of a six-order potential converts it into an integrable equation.Talk given by P. A. Horvathy at the meeting Nonlinearity, Integrability, and All That... Gallipoli (Lecce), 1999. Latex, 6 pagesHigh Energy Physics - Theorytext