Wave interaction for a generalized higher-dimensional Boussinesq equation describing the nonlinear Rossby waves

Rong SU; Penghao JI; Xiaojun YIN

doi:10.1007/s00343-024-3156-3

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Wave interaction for a generalized higher-dimensional Boussinesq equation describing the nonlinear Rossby waves

Physics | Updated：2024-11-19

- Wave interaction for a generalized higher-dimensional Boussinesq equation describing the nonlinear Rossby waves
- Journal of Oceanology and Limnology Vol. 42, Issue 5, Pages: 1415-1424(2024)
- Affiliations：
  
  College of Science, Inner Mongolia Agricultural University, Hohhot010018, China
- Author bio：
  
  yinxiaojun_2002@163.com
- Funds：
- DOI：10.1007/s00343-024-3156-3
  CLC：
- Received：18 September 2023，
  
  Online First：04 January 2024，
  
  Published：01 September 2024
- Accepted：
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SU Rong,JI Penghao,YIN Xiaojun.Wave interaction for a generalized higher-dimensional Boussinesq equation describing the nonlinear Rossby waves[J].Journal of Oceanology and Limnology,2024,42(05):1415-1424.
DOI：

SU Rong,JI Penghao,YIN Xiaojun.Wave interaction for a generalized higher-dimensional Boussinesq equation describing the nonlinear Rossby waves[J].Journal of Oceanology and Limnology,2024,42(05):1415-1424. DOI： 10.1007/s00343-024-3156-3.

摘要

Abstract

Based on an algebraically Rossby solitary waves evolution model

namely an extended (2+1)-dimensional Boussinesq equation

we firstly introduced a special transformation and utilized the Hirota method

which enable us to obtain multi-complexiton solutions and explore the interaction among the solutions. These wave functions are then employed to infer the influence of background flow on the propagation of Rossby waves

as well as the characteristics of propagation in multi-wave running processes. Additionally

we generated stereogram drawings and projection figures to visually represent these solutions. The dynamical behavior of these solutions is thoroughly examined through analytical and graphical analyses. Furthermore

we investigated the influence of the generalized beta effect and the Coriolis parameter on the evolution of Rossby waves.

关键词

Keywords

references

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