Solutions of the Frobenius Coupled KP Equation

摘要

In this paper, we firstly construct the coupled Schur function solution ofthe Frobenius coupled Kadomtsev–Petviashvili (KP) hierarchy as a generalizationof the Schur function. The Frobenius coupled KP hierarchy containsa Frobenius coupled KP equation which has a potential application in thetheory of two-layer shallow water waves. We further derive some regularWronskian solution and non-Wronskian solutions of the Frobenius coupledKP equation.