A new model for algebraic Rossby solitary waves in rotation fluid and its solution
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 Ro...
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| Published in | Chinese physics B Vol. 24; no. 9; pp. 54 - 61 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.09.2015
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1674-1056 2058-3834 1741-4199 |
| DOI | 10.1088/1674-1056/24/9/090205 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | 陈耀登 杨红卫 高玉芳 尹宝树 冯兴如 |
| AuthorAffiliation | Key Laboratory of Meteorological Disaster of Ministry of Education, Nanjing University of Information Science ＆ Technology, Nanjing 210044, China Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, Nanjing University of Information Science ＆ Technology, Nanjing 210044, China College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China Key Laboratory of Ocean Circulation and Wave, Chinese Academy of Sciences, Qingdao 266071, China |
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| Cites_doi | 10.1016/j.cnsns.2010.10.031 10.1175/1520-0469(1964)021<0197:SWITW > 2.0.CO;2 10.1016/j.cnsns.2012.11.023 10.1143/JPSJ.50.2757 10.1088/1009-1963/11/4/302 10.1002/cjg2.v49.4 10.1016/j.jmaa.2011.01.078 10.1016/j.amc.2012.05.049 10.1016/0020-7462(95)00064-X 10.1016/j.amc.2013.06.019 10.1088/0305-4470/39/34/013 10.1143/JPSJ.39.1082 10.1088/1674-1056/18/7/042 10.1088/1009-1963/12/9/303 10.1088/0253-6102/58/3/18 10.1143/JPSJ.34.1289 10.1017/S0022112077000950 10.1007/BF02656754 |
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| DocumentTitleAlternate | A new model for algebraic Rossby solitary waves in rotation fluid and its solution |
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| Notes | generalized Boussinesq equation,algebraic Rossby solitary waves,dissipation effect,solitary waves fission 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. 11-5639/O4 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| References | 22 Russell J S (1) 1837; 41 23 Yang H W (11) 2012; 58 Ma W X (21) 2006; 39 Wang X (13) 2014; 23 Chao J P (12) 1980; 7 Du Z J (18) 2012; 21 Song J (4) 2009; 18 Yang H W (6) 2011; 20 Luo D H (10) 1989; 32 Yu F J (14) 2012; 21 15 16 17 19 Chen Y (24) 2003; 12 2 3 5 7 8 9 Zhang Y F (25) 2002; 11 20 |
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| SubjectTerms | Algebra Boussinesq equations Dissipation Fluid flow Mathematical analysis Mathematical models Solitary waves Wave propagation 代数 分裂现象 孤立波 广义Boussinesq方程 旋转流体 模型 求解 耗散效应 |
| Title | A new model for algebraic Rossby solitary waves in rotation fluid and its solution |
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