2021•Advances in Difference EquationsOpen access

New type of source extension for a two-dimensional special lattice equation and determinant solutions

Hongyan Wang, Guo-Qing Zhu

Abstract

Abstract We present a new type of two-dimensional special lattice equations with self-consistent sources using the source generation procedure. Then we obtain the Grammy-type and Casorati-type determinant solutions of the coupled system. Further, we present the one-soliton and two-soliton solutions.

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Key concepts: Ordinary differential equation, Partial differential equation, Mathematics, Lattice (music), Type (biology), Extension (predicate logic), Soliton, Mathematical analysis