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arXiv · 1207.4922

An extended representation of three spin component Bose Einstein Condensate solitons

Piotr Szankowski·Marek Trippenbach·Eryk Infeld
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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.

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Piotr Szankowski, Marek Trippenbach, Eryk Infeld. 2012-07-20. An extended representation of three spin component Bose Einstein Condensate solitons. https://doi.org/10.1016/j.physd.2012.08.013.

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