Factorization methods for noncommutative KP and Toda hierarchy

Masato Sakakibara

Type: Article

Publication Date: 2004-10-29

Citations: 10

DOI: https://doi.org/10.1088/0305-4470/37/45/l02

Abstract

We show that the solution space of the noncommutative KP hierarchy is the same as that of the commutative KP hierarchy owing to the Birkhoff decomposition of groups over the noncommutative algebra. The noncommutative Toda hierarchy is introduced. We derive the bilinear identities for the Baker–Akhiezer functions and calculate the N-soliton solutions of the noncommutative Toda hierarchy.

Locations

Journal of Physics A Mathematical and General - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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