Gram-type pfaffian solution to the coupled discrete KP equation

摘要

In this paper, we first prove the Grammian determinant solution to the discrete KP (dKP) equation by the algebraic identity of pfaffian instead of Laplace expansion for determinants. Then we present the Gram-type pfaffian solution to the pfaffianized dKP system. As an example, the N-soliton solution for the system is obtained.