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Darboux Transformations from Reductions of the KP Hierarchy

J J C NIMMO
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Abstract

The use of effective Darboux transformations for general classes Lax pairs is discussed. The general construction of ``binary'' Darboux transformations preserving certain properties of the operator, such as self-adjointness, is given. The classes of Darboux transformations found include the multicomponent BKP and CKP reductions of the KP hierarchy.

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J J C NIMMO. 1994-10-11. Darboux Transformations from Reductions of the KP Hierarchy. https://arxiv.org/abs/solv-int/9410001

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