2004/11/11 by M Hassaine, Hassaine, M, P. A. Horvathy +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0411117
Talk given by P. A. Horvathy at the meeting Nonlinearity, Integrability, and All That... Gallipoli (Lecce), 1999. Latex, 6 pages
arxiv created 2004/11/11 · arxiv updated 2009/12/01
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. 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.