Generalized Cauchy matrix approach for lattice KP-type equations

In this paper we generalize Cauchy matrix approach to study the lattice KP-type equations, including lattice potential KP equation, lattice potential mKP equation, lattice Schwarzian KP equation and lattice KP-type NQC equation. By solving the condition equation set, we give explicit formulae for all possible r , t s and M . Consequently, we get more solutions than usual multi-soliton solutions for these lattice KP-type equations.