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

Masato Hisakado
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Abstract

We consider the relation between the discrete coupled nonlinear Schrödinger equation and Toda equation. Introducing complex times we can show the intergability of the discrete coupled nonlinear Schrödinger 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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BibTeXRIS

Masato Hisakado. 1997-04-11. Coupled Nonlinear Schrödinger equation and Toda equation (the Root of Integrability). https://doi.org/10.1143/jpsj.66.1939

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