A study on soliton, lump solutions to a generalized (3+1)-dimensional Hirota--Satsuma--Ito equation

In this article, through the Hirota bilinear method and long wave limit method, based on the N-solitons, we construct the multiple lump solutions of the generalized (3+1)-dimensional Hirota–Satsuma–Ito equation. Furthermore, to enhance our understanding of the solutions obtained, we further elucidat...

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Bibliographic Details
Published in:Open Physics 2023-07, Vol.21 (1), p.51-13
Main Authors: Qi, Feng-Hua, Li, Zhen-Huan, Li, Shuang, Wang, Pan
Format: Article
Language:English
Subjects:
generalized (3+1)-dimensional Hirota–Satsuma–Ito equation
Hirota bilinear
long wave limit
multiple lump solutions
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Summary:In this article, through the Hirota bilinear method and long wave limit method, based on the N-solitons, we construct the multiple lump solutions of the generalized (3+1)-dimensional Hirota–Satsuma–Ito equation. Furthermore, to enhance our understanding of the solutions obtained, we further elucidate the physical implications of these solutions with three-dimensional and two-dimensional graphs. The solutions obtained might have practical applications in elucidating the dynamic behaviors of higher-dimensional systems, particularly in the study area of waves in shallow water and the study of nonlinear optics.
ISSN:2391-5471
2391-5471
DOI:10.1515/phys-2023-0272