Journal of Mathematical Physics, Analysis, Geometry
2019, vol. 15, No 3, pp. 369-378     ( to contents , go back )

Solutions of the Frobenius Coupled KP Equation

Chuanzhong Li

Ningbo University, Ningbo, Zhejiang, 315211, China

Huijuan Zhou

Ningbo University, Ningbo, Zhejiang, 315211, China

Received April 11, 2018.


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.

Mathematics Subject Classification 2010: 34M55, 37K10.
Key words: Frobenius coupled KP hierarchy, Schur function, coupled Schur function solution, Wronskian solution, non-Wronskian solution.

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