A study on soliton, lump solutions to a generalized (3+1)-dimensional Hirota--Satsuma--Ito equation-Reference-Cited by-同舟云学术

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

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5471
Container-title:Open Physics
language:en
Short-container-title:

Author:

Qi Feng-Hua¹,Li Zhen-Huan¹,Li Shuang¹,Wang Pan²

Affiliation:

1. School of Information, Beijing Wuzi University , Beijing , 101149 , China

2. Sports Business School, Beijing Sport University , Beijing , 100084 , China

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2023-0272/pdf

Reference44 articles.

1. Shukla PK, Eliasson B. Nonlinear aspects of quantum plasma physics. Physics-Uspekhi. 2010;53(1):51.

2. Rajan MM, Mahalingam A, Uthayakumar A. Nonlinear tunneling of optical soliton in 3 coupled NLS equation with symbolic computation. Ann Phys. 2014;346:1–13.

3. Savescu M, Khan KR, Naruka P, Jafari H, Moraru L, Biswas A. Optical solitons in photonic nano waveguides with an improved nonlinear Schrödinger’s equation. J Comput Theoret Nanosci. 2013;10(5):1182–91.

4. Ablowitz MJ, Segur H. On the evolution of packets of water waves. J Fluid Mech. 1979;92(4):691–715.

5. Liu FY, Gao YT, Yu X, Li LQ, Ding CC, Wang D. Lie group analysis and analytic solutions for a (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation in fluid mechanics and plasma physics. Europ Phys J Plus. 2021;136(6):1–14.