Dissipative Nonlinear Schrdinger Equation with External Forcing in Rotational Stratified Fluids and Its Solution
文献类型：CNKI期刊论文
| 作者 | Shi YL(时云龙) ; Yang HW(杨红卫); Yin BS(尹宝树); Yang DZ(杨德周); Xu ZH(徐振华); Feng XR(冯兴如)
|
| 发表日期 | 2015-10-01 |
| 出处 | Communications in Theoretical Physics
 |
| 关键词 | forced dissipative nonlinear Schr¨odinger equation,envelope solitary Rossby waves,Jacobi elliptic function expansion method,Hirota's direct method |
| 英文摘要 | The dissipative nonlinear Schrdinger equation with a forcing item is derived by using of multiple scales analysis and perturbation method as a mathematical model of describing envelope solitary Rossby waves with dissipation effect and external forcing in rotational stratified fluids. By analyzing the evolution of amplitude of envelope solitary Rossby waves, it is found that the shear of basic flow, Brunt–Vaisala frequency and β effect are important factors in forming the envelope solitary Rossby waves. By employing Jacobi elliptic function expansion method and Hirota's direct method, the analytic solutions of dissipative nonlinear Schr¨odinger equation and forced nonlinear Schr¨odinger equation are derived, respectively. With the help of these solutions, the effects of dissipation and external forcing on the evolution of envelope solitary Rossby wave are also discussed in detail. The results show that dissipation causes slowly decrease of amplitude of envelope solitary Rossby waves and slowly increase of width, while it has no effect on the propagation speed and different types of external forcing can excite the same envelope solitary Rossby waves. It is notable that dissipation and different types of external forcing have certain influence on the carrier frequency of envelope solitary Rossby waves. |
| 文献子类 | CNKI期刊论文 |
| 资助机构 | Supported by Foundation for Innovative Research Groups of the National Natural Science Foundation of China under Grant No.41421005 ; National Natural Science Foundation of China under Grant Nos.41376030,41376029,41476019 ; NSFC–Shandong Joint Fund for Marine Science Research Centers Grant(U1406401) ; Special Funds for Theoretical Physics of the National Natural Science Foundation of China under Grant No.11447205 |
| 卷 | v.64期:10页:102-110 |
| 语种 | 英文; |
| 分类号 | O415 |
| ISSN号 | 0253-6102 |
| 源URL | [http://ir.qdio.ac.cn/handle/337002/189905]  |
| 专题 | 中国科学院海洋研究所 |
| 作者单位 | 1.InstituteofOceanology,ChineseAcademyofSciences 2.UniversityofChineseAcademyofSciences 3.KeyLaboratoryofOceanCirculationandWave,ChineseAcademyofSciences 4.CollegeofMathematicsandSystemScience,ShandongUniversityofScienceandTechnology |
| 推荐引用方式 GB/T 7714 | Shi YL,Yang HW,Yin BS,et al. Dissipative Nonlinear Schrdinger Equation with External Forcing in Rotational Stratified Fluids and Its Solution. 2015. |
入库方式： OAI收割
来源：海洋研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。