An Elementary Approach to Hierarchies of Soliton Equations
Author(s)
Lambert, Franklin
Springael, Johan
Colin, Samuel
Willox, Ralph
Griffith University Author(s)
Year published
2007
Metadata
Show full item recordAbstract
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
Subject
Integrable Systems (Classical and Quantum)
Mathematical Sciences
Physical Sciences