Solitary waves in Galilean covariant Fermi field theories with self-interaction

Abstract

The generalized Levy-Leblond equation for a $(3+1)$-dimensional self-interacting Fermi field is considered. Spin up solitary wave solutions with space oscillations in the $x^3$-coordinate are constructed. The solutions are shown to accumulate non-equal amounts of inertial and rest masses.

arXiv commentBased on talk given at SIAM Conference on Nonlinear Waves and Coherent Structure, August 11-14, 2014, Churchill College, University of Cambridge, UK; Latex file, 4 pages, 1 figure