| Abstract: |
| In this talk, we first introduce two types of elliptic functions, namely Jacobi and Weierstrass elliptic functions, and their corresponding properties. Secondly, two types of nonlinear wave solutions on the periodic wave background of elliptic functions have been constructed by using the solution of linear spectral problems and Darboux transformation technique, and the corresponding dynamic properties are also studied. Finally, the relationship between nonlinear wave solutions on constant background and periodic wave background are discussed. |
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