Soliton propagation for a coupled Schrödinger equation describing Rossby waves  

作　　者：徐丽阳 尹晓军 曹娜 白淑婷 Li-Yang Xu;Xiao-Jun Yin;Na Cao;Shu-Ting Bai(College of Science,Inner Mongolia Agriculture University,Hohhot 010018,China)

机构地区：[1]College of Science,Inner Mongolia Agriculture University,Hohhot 010018,China

出　　处：《Chinese Physics B》2023年第7期206-215,共10页中国物理B（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(Grant Nos.12102205 and 12161065);the Scientific Research Ability of Youth Teachers of Inner Mongolia Agricultural University(Grant Nos.JC2021001 and BR220126);the Natural Science Foundation of Inner Mongolia Autonomous Region of China(Grant No.2022QN01003);the Research Program of Inner Mongolia Autonomous Region Education Department(Grant Nos.NJYT23099 and NMGIRT2208).

摘　　要：We study a coupled Schrödinger equation which is started from the Boussinesq equation of atmospheric gravity waves by using multiscale analysis and reduced perturbation method.For the coupled Schrödinger equation,we obtain the Manakov model of all-focusing,all-defocusing and mixed types by setting parameters value and apply the Hirota bilinear approach to provide the two-soliton and three-soliton solutions.Especially,we find that the all-defocusing type Manakov model admits bright-bright soliton solutions.Furthermore,we find that the all-defocusing type Manakov model admits bright-bright-bright soliton solutions.Therefrom,we go over how the free parameters affect the Manakov model’s allfocusing type’s two-soliton and three-soliton solutions’collision locations,propagation directions,and wave amplitudes.These findings are useful for setting a simulation scene in Rossby waves research.The answers we have found are helpful for studying physical properties of the equation in Rossby waves.

关 键 词：Hirota bilinear method Schrödinger equation soliton solution Rossby waves 

分 类 号：O175.2[理学—数学]