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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.
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