Traveling wave solutions of the generalized equation based on the Hirota-Satsuma coupled equation

Xin Su; Jiaxuan Tang

doi:10.1117/12.3036532

21 July 2024 Traveling wave solutions of the generalized equation based on the Hirota-Satsuma coupled equation

Xin Su, Jiaxuan Tang

Proceedings Volume 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024); 1321922 (2024) https://doi.org/10.1117/12.3036532
Event: 4th International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2024), 2024, Kaifeng, China

Abstract

Nonlinear evolution equations have always been the most important and difficult points of research in various disciplines. In this paper, the generalized equation based on the Hirota-Satsuma coupled equation describing the interaction of two long waves with different dispersion relations is studied. We obtain the integrable form of this equation through travelling wave exchange and surface kinetics behavior, and obtain three types solutions of this equation through the complete discrimination system for polynomials, including singular solutions, solitary wave solutions, and double periodic solutions. We take out particular value for each parameter and draw images of solutions to understand the existence of the solutions.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Xin Su and Jiaxuan Tang "Traveling wave solutions of the generalized equation based on the Hirota-Satsuma coupled equation", Proc. SPIE 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024), 1321922 (21 July 2024); https://doi.org/10.1117/12.3036532

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