Doubly Periodic Propagating Wave Patterns of (2+1)-Dimensional Maccari System

Abstract

Using the variable separation approach, we obtain a general exact solution with arbitrary variable separation functions for the (2+1)-dimensional Maccari system. By introducing Jacobi elliptic functions dn and nd in the seed solution, two types of doubly periodic propagating wave patterns are derived. We investigate the wave patterns evolution along with the modulus k increasing, many important and interesting properties are revealed.