On matrix modified KP hierarchy
classification
🧮 math-ph
math.MPnlin.SI
keywords
bilinearmatrixmodifiedmulticomponentauxiliarybaker-akhiezercliffordcomposed
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Using the bilinear formalism, we consider multicomponent and matrix modified KP hierarchies. The main tool is the bilinear identity for the tau-function which is realized as an expectation value of a Clifford group element composed from multicomponent fermionic operators. We also construct the Baker-Akhiezer functions and derive auxiliary linear equations satisfied by them.
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Cited by 1 Pith paper
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Revisiting B\"acklund-Darboux transformations for KP and BKP integrable hierarchies
Revisits Bäcklund-Darboux transformations for KP, BKP and related hierarchies in bilinear tau-function and fermionic operator frameworks, extending naturally to fully discrete cases.
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