Darboux Transformations from Reductions of the KP Hierarchy

Details Darboux Transformations from Reductions of the KP Hierarchy Darboux Transformations from Reductions of the KP Hierarchy

1994-10-11

arxiv.org/abs/solv-int/9410001v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, LaTeX2e plus Latex2e style file for layout. (Should work with LaTeX209 with minimum changes (see line 3 of source))

Scientific paper

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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