Coupled Nonlinear Schrödinger equation and Toda equation (the Root of Integrability)

Details Coupled Nonlinear Schrödinger equation and Toda equation (the Root of Integrability) Coupled Nonlinear Schrödinger equation and Toda equation (the Root of Integrability)

1997-01-31

arxiv.org/abs/solv-int/9701022v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LateX, to apper in J. Phys. Soc. Jpn. Vol. 66, No 7

Scientific paper

10.1143/JPSJ.66.1939

We consider the relation between the discrete coupled nonlinear
Schr\"{o}dinger equation and Toda equation. Introducing complex times we can
show the intergability of the discrete coupled nonlinear Schr\"{o}dinger
equation. In the same way we can show the integrability in coupled case of dark
and bright equations. Using this method we obtain several integrable equations.

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