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, multicomponent fermion, auxiliary linear problem. 
@article{TMF_2019_199_3_a0,
     author = {A. V. Zabrodin},
     title = {Matrix modified {Kadomtsev--Petviashvili} hierarchy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {343--356},
     publisher = {mathdoc},
     volume = {199},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_199_3_a0/}
}
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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/