Soliton solutions for a generalized (1+1)-dimensional equation

Dan Wang; Jinyu Zhang; Chunhui Li; Xiaoli Wang

doi:10.1117/12.2639361

17 May 2022 Soliton solutions for a generalized (1+1)-dimensional equation

Dan Wang, Jinyu Zhang, Chunhui Li, Xiaoli Wang

Proceedings Volume 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022); 122591S (2022) https://doi.org/10.1117/12.2639361
Event: 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing, 2022, Kunming, China

Abstract

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.

Citation Download Citation

Dan Wang, Jinyu Zhang, Chunhui Li, and Xiaoli Wang "Soliton solutions for a generalized (1+1)-dimensional equation", Proc. SPIE 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 122591S (17 May 2022); https://doi.org/10.1117/12.2639361

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