| Abstract: |
| In this talk, a method to construct oscillatory soliton solutions, expressed with theta-functions, is presented, of integrable equations, that is both Lax and Hirota integrable. The Baker-Akhiezer functions in the field of algebraic solutions and the tau-functions in the filed of the direct method are combined to solve the spectral problems, to construct Darboux transformations, and to derive exact solutions. |
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