首页|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

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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.

Rossby waveBoussinesq equationComplexiton solutionBreather solution

Rong SU、Penghao JI、Xiaojun YIN

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College of Science,Inner Mongolia Agricultural University,Hohhot 010018,China

National Natural Science Foundation of ChinaNatural Science Foundation of Inner Mongolia Autonomous Region of ChinaUniversity Scientific Research Project of Inner Mongolia Autonomous Region of ChinaScientific Research Improvement Project of Youth Teachers of Inner Mongolia Autonomous Region of ChinaInner Mongolia Agricultural University Basic Discipline Scientific Research Launch Fund

323602492022QN01003NJZY22484BR230161JC2020003

2024

海洋湖沼学报(英文版)
中国海洋湖沼学会

海洋湖沼学报(英文版)

CSTPCD
影响因子:0.386
ISSN:2096-5508
年,卷(期):2024.42(5)