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  • An Elementary Approach to Hierarchies of Soliton Equations

    Author(s)
    Lambert, Franklin
    Springael, Johan
    Colin, Samuel
    Willox, Ralph
    Griffith University Author(s)
    Colin, Samuel
    Year published
    2007
    Metadata
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    Abstract
    In this paper we present a systematic and elementary construction of the Hirota equations (in an equivalent formulation) that make up the bilinear KP and modified KP hierarchies. Our construction leads to a natural gradation of the Hirota equations of a given weight in each bilinear hierarchy, providing useful insight into their mutual relationship.In this paper we present a systematic and elementary construction of the Hirota equations (in an equivalent formulation) that make up the bilinear KP and modified KP hierarchies. Our construction leads to a natural gradation of the Hirota equations of a given weight in each bilinear hierarchy, providing useful insight into their mutual relationship.
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    Journal Title
    Journal of the Physical Society of Japan
    Volume
    76
    DOI
    https://doi.org/10.1143/JPSJ.76.054005
    Subject
    Integrable Systems (Classical and Quantum)
    Mathematical Sciences
    Physical Sciences
    Publication URI
    http://hdl.handle.net/10072/32534
    Collection
    • Journal articles

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