A new periodic wave solution in terms of theta functions is presented for a kind of elliptic equation.Based on the results,with the help of Mathematica and the improved generalized F-expansion method,some periodic wave solutions in terms of theta functions are obtained for the(2+1)-dimensional breaking soliton equation.In addition,x-direction periodic wave solutions are derived,their properties and profiles are displayed in 3D figures.To our knowledge,these solutions are reported for the first time.