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
- Wave interaction for a generalized higher-dimensional Boussinesq equation describing the nonlinear Rossby waves
- 海洋湖沼学报(英文) 2024年42卷第5期页码：1415-1424
- Affiliations：
  
  College of Science, Inner Mongolia Agricultural University, Hohhot010018, China
- Author bio：
  
  yinxiaojun_2002@163.com
- Funds：
  
  the National Natural Science Foundation of China(32360249);the Natural Science Foundation of Inner Mongolia Autonomous Region of China(2022QN01003);the University Scientific Research Project of Inner Mongolia Autonomous Region of China(NJZY22484);the Scientific Research Improvement Project of Youth Teachers of Inner Mongolia Autonomous Region of China(BR230161);the Inner Mongolia Agricultural University Basic Discipline Scientific Research Launch Fund(JC2020003)
- DOI：10.1007/s00343-024-3156-3
  中图分类号：
- 收稿：2023-09-18，
  
  网络首发：2024-01-04，
  
  纸质出版：2024-09-01
- Accepted：
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Wave interaction for a generalized higher-dimensional Boussinesq equation describing the nonlinear Rossby waves[J]. 海洋湖沼学报(英文), 2024,42(5):1415-1424.

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.
Wave interaction for a generalized higher-dimensional Boussinesq equation describing the nonlinear Rossby waves[J]. 海洋湖沼学报(英文), 2024,42(5):1415-1424. DOI： 10.1007/s00343-024-3156-3.

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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