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• W3122392140 abstract "It is shown how the complex sine-Gordon equation arises as a symmetry flow of the AKNS hierarchy. The AKNS hierarchy is extended by the `negative' symmetry flows forming the Borel loop algebra. The complex sine-Gordon and the vector nonlinear Schrödinger equations appear as lowest-negative and second-positive flows within the extended hierarchy. This is fully analogous to the well known connection between the sine-Gordon and mKdV equations within the extended mKdV hierarchy. A general formalism for a Toda-like symmetry occupying the `negative' sector of the sl(N) constrained KP hierarchy and giving rise to the negative Borel sl(N) loop algebra is indicated." @default.
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• W3122392140 date "2000-08-25" @default.
• W3122392140 modified "2023-10-02" @default.
• W3122392140 title "The complex sine-Gordon equation as a symmetry flow of the AKNS hierarchy" @default.
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• W3122392140 doi "https://doi.org/10.1088/0305-4470/33/35/101" @default.
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