Geodesic
Matrix modified Kadomtsev–Petviashvili hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 3, pp. 343-356

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Using the bilinear formalism, we consider multicomponent and matrix Kadomtsev–Petviashvili hierarchies. The main tool is the bilinear identity for the tau function realized as the vacuum expectation value of a Clifford group element composed of multicomponent fermionic operators. We also construct the Baker–Akhiezer functions and obtain auxiliary linear equations that they satisfy.
Keywords: matrix modified Kadomtsev–Petviashvili hierarchy, auxiliary linear problem.
Mots-clés : multicomponent fermion 
A. V. Zabrodin. Matrix modified Kadomtsev–Petviashvili hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 199 (2019) no. 3, pp. 343-356. http://geodesic.mathdoc.fr/item/TMF_2019_199_3_a0/
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