This article is cited in 12 papers

Strongly coupled B-type universal characters and hierarchies

Chuanzhong  Li

School of Mathematics and Statistics, Ningbo University, Ningbo, China

Abstract: We construct a solution expressed in terms of Schur $Q$-functions of a strongly coupled B-type Kadomtsev–Petviashvili hierarchy. As a generalization of these functions, we introduce universal characters satisfying the bilinear equations of a new infinite-dimensional integrable system called the strongly coupled B-type universal character hierarchy.

Keywords: strongly coupled BKP hierarchy, Schur $Q$-function, B-type universal character, strongly coupled B-type universal character hierarchy.

PACS: 05.45.Yv, 02.30.Jr, 02.30.Ik

MSC: 37K05, 37K10

Received: 15.05.2019
Revised: 07.06.2019

DOI: 10.4213/tmf9745

 English version: Theoretical and Mathematical Physics, 2019, 201:3, 1732–1741

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