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Bilinear Representations of Integrable Equations

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Abstract

We present a method for deriving recursion operators and canonical Lax pairs directly from bilinear identities of the KP type. Examples include the KdV equation, the Boussinesq equation, and a real equivalent of the nonlinear Schrödinger equation.

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Loris, I. Bilinear Representations of Integrable Equations. Theoretical and Mathematical Physics 133, 1549–1556 (2002). https://doi.org/10.1023/A:1021103012057

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  • DOI: https://doi.org/10.1023/A:1021103012057

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