In this paper, a generalized (1+1)-dimensional equation is studied based on Bell polynomials. In special cases, mKdV equation and nonlinear Schroሷdingerequation can be returned. Firstly, we use the relation between the Bell polynomial and the Hirota bilinear to derive the bilinear form of the equation. And then the soliton solutions of the equation are obtained. Finally, two examples are given for analysis.
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