Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2019, Volume 15, Number 3, Pages 369–378
DOI: https://doi.org/10.15407/mag15.03.369 (Mi jmag733) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Solutions of the Frobenius coupled KP equation

Chuanzhong Li, Huijuan Zhou

Ningbo University, Ningbo, Zhejiang, 315211, China
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DOI: https://doi.org/10.15407/mag15.03.369
Abstract: In this paper, we firstly construct the coupled Schur function solution of the Frobenius coupled Kadomtsev–Petviashvili (KP) hierarchy as a generalization of the Schur function. The Frobenius coupled KP hierarchy contains a Frobenius coupled KP equation which has a potential application in the theory of two-layer shallow water waves. We further derive some regular Wronskian solution and non-Wronskian solutions of the Frobenius coupled KP equation.
Key words and phrases: Frobenius coupled KP hierarchy, Schur function, coupled Schur function solution, Wronskian solution, non-Wronskian solution.
Funding agency Grant number
National Natural Science Foundation of China 11571192
Chuanzhong Li is supported by the National Natural Science Foundation of China under Grant №. 11571192 and K.C. Wong Magna Fund in Ningbo University.
Received: 11.04.2018
Bibliographic databases:
Document Type: Article
MSC: 34M55, 37K10.
Language: English
Citation: Chuanzhong Li, Huijuan Zhou, “Solutions of the Frobenius coupled KP equation”, Zh. Mat. Fiz. Anal. Geom., 15:3 (2019), 369–378
Citation in format AMSBIB
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\by Chuanzhong~Li, Huijuan~Zhou
\paper Solutions of the Frobenius coupled KP~equation
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2019
\vol 15
\issue 3
\pages 369--378
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    • This publication is cited in the following 3 articles:
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