A new model for algebraic Rossby solitary waves in rotation fluid and its solution

IOCAS-IR

	A new model for algebraic Rossby solitary waves in rotation fluid and its solution
	Chen YD(陈耀登); Yang HW(杨红卫); Gao YF(高玉芳); Yin BS(尹宝树); Feng XR(冯兴如)
发表期刊	Chinese Physics B
ISSN	1674-1056
	2015-09-15
出版年	2015
卷号	v.24 期号:09 页码:58-65
文献类型	CNKI期刊论文
摘要	A generalized Boussinesq equation that includes the dissipation effect is derived to describe a kind of algebraic Rossby solitary waves in a rotating fluid by employing perturbation expansions and stretching transformations of time and space.Using this equation, the conservation laws of algebraic Rossby solitary waves are discussed. It is found that the mass, the momentum, the energy, and the velocity of center of gravity of the algebraic solitary waves are conserved in the propagation process. Finally, the analytical solution of the equation is generated. Based on the analytical solution, the properties of the algebraic solitary waves and the dissipation effect are discussed. The results point out that, similar to classic solitary waves,the dissipation can cause the amplitude and the speed of solitary waves to decrease; however, unlike classic solitary waves,the algebraic solitary waves can split during propagation and the decrease of the detuning parameter can accelerate the occurrence of the solitary waves fission phenomenon.
关键词	generalized Boussinesq equation,algebraic Rossby solitary waves,dissipation effect,solitary waves fission
CNKI专辑号	A;
CNKI专辑名称	基础科学;
CNKI专题号	A002;
CNKI专题名称	数学;
分类号	O175
收录类别	中科院核心 ; 中科院扩展
语种	英文;
资助项目(基金）	Project supported by the Shandong Provincial Key Laboratory of Marine Ecology and Environment and Disaster Prevention and Mitigation Project,China(Grant No.2012010) ; the National Natural Science Foundation of China(Grant Nos.41205082 and 41476019) ; the Special Funds for Theoretical Physics of the National Natural Science Foundation of China(Grant No.11447205) ; the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAPD),China
文献类型	CNKI期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/189913
专题	中国科学院海洋研究所
作者单位	1.KeyLaboratoryofMeteorologicalDisasterofMinistryofEducation,NanjingUniversityofInformationScience&Technology 2.CollaborativeInnovationCenteronForecastandEvaluationofMeteorologicalDisasters,NanjingUniversityofInformationScience&Technology 3.CollegeofMathematicsandSystemsScience,ShandongUniversityofScienceandTechnology 4.InstituteofOceanology,ChineseAcademyofSciences 5.KeyLaboratoryofOceanCirculationandWave,ChineseAcademyofSciences
推荐引用方式 GB/T 7714	Chen YD,Yang HW,Gao YF,et al. A new model for algebraic Rossby solitary waves in rotation fluid and its solution. 2015.