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- Title
Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions.
- Authors
Kac, Victor G.; van de Leur, Johan W.
- Abstract
We show that a system of Hirota bilinear equations introduced by Jimbo and Miwa defines tau-functions of the modified KP (MKP) hierarchy of evolution equations introduced by Dickey. Some other equivalent definitions of the MKP hierarchy are established. All polynomial tau-functions of the KP and the MKP hierarchies are found. Similar results are obtained for the reduced KP and MKP hierarchies.
- Subjects
BILINEAR forms; WAVE functions; PSEUDODIFFERENTIAL operators; POLYNOMIALS; MATHEMATICAL equivalence
- Publication
Japanese Journal of Mathematics, 2018, Vol 13, Issue 2, p235
- ISSN
0289-2316
- Publication type
Article
- DOI
10.1007/s11537-018-1803-1