An Elementary Approach to Hierarchies of Soliton Equations
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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.
Journal of the Physical Society of Japan
Integrable Systems (Classical and Quantum)