In this work we consider conserved properties of the vector Nonlinear Schrödinger Equations for linearly polarized solitons in the initial configuration. We derive analytic formulae for the mass, pseudomomentum and energy and compare results with the discrete formulae based on a conservative fully implicit finite-difference scheme in complex arithmetic.
"Finite-Difference Implementation of Conserved Properties of Vector NLSE." J. Geom. Symmetry Phys. 32 51 - 60, 2013. https://doi.org/10.7546/jgsp-32-2013-51-60