Matrix Modified Kadomtsev-Petviashvili Hierarchy

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2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)771-783
Number of pages13
JournalTheoretical and Mathematical Physics
Issue number3
Publication statusPublished - 1 Jun 2019


  • auxiliary linear problem
  • matrix modified Kadomtsev-Petviashvili hierarchy
  • multicomponent fermion


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