An extended representation of three spin component Bose Einstein Condensate solitons
Quantum Gases
2014-01-28 v1
Abstract
We consider a three spin component Bose Einstein Condensate as described by as many coupled nonlinear Schroedinger equations. For a very special ratio of the coupling constants, exact N soliton solutions to this set of equations are known. Here we find a simple representation including the N = 1 solution based on the symmetry of the equations. This symmetry is described by a linear operator, the nonlinearity of NLS notwithstanding. Our useful representation opens the door to the nonintegrable case of general coupling constants. A new class of solutions is found.
Keywords
Cite
@article{arxiv.1207.4922,
title = {An extended representation of three spin component Bose Einstein Condensate solitons},
author = {Piotr Szankowski and Marek Trippenbach and Eryk Infeld},
journal= {arXiv preprint arXiv:1207.4922},
year = {2014}
}
Comments
9 pages, 2 figures