切变基本纬向流中β效应的赤道Rossby孤立波包

宋健; 姜楠; 杨联贵

doi:10.7498/aps.60.024701

摘要

从描写赤道Rossby 波的正压大气位涡方程出发,采用多重尺度摄动方法推导出在切变基本纬向流中具有β效应的非线性赤道Rossby波包演变满足非线性Schrdinger方程,并得到单个包络孤立子波解,分析了基本切变流,β效应对非线性赤道Rossby波的影响.

关键词:

With a simple model of shallow-water on an equatorial beta plane, the nonlinear equatorial Rossby waves in a shear flow with beta effect are investigated by the asymptotic method of multiple scales. The nonlinear Schrdinger equation, satisfied by large amplitude Rossby envelope solitary waves in shear basic flow with beta effect, is derived. The effects of basic flow shear and beta effect on the nonlinear equatorial Rossby waves are also analyzed.

Keywords:

作者及机构信息

(1)内蒙古大学数学科学学院,呼和浩特 010021; (2)内蒙古工业大学理学院,呼和浩特 010051; (3)天津大学机械学院,天津 300072

基金项目: 内蒙古自然科学重点基金(批准号: 2009ZD01)和内蒙古教育厅基金(批准号: NJZY08005)资助的课题.

Authors and contacts

(1)College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China; (2)School of Mathematical Science, Inner Mongolia University, Hohhot 010021, China; (3)School of Mechanical Engineering, Tianjin University, Tianjin 300072, China

参考文献

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[25]	Mao J J, Yang J R 2005 Acta Phys. Sin. 54 4999 (in Chinese)[毛杰健、杨建荣 2005 54 4999]
[26]	Zhu H P, Zheng C L 2006 Acta Phys. Sin. 55 4999 (in Chinese)[朱海平、郑春龙 2006 55 4999]
[27]	Chen X F, Mo J Q, Zhang W J 2009 Acta Phys. Sin. 58 7397 (in Chinese)[陈贤峰、莫嘉琪、张伟江 2009 58 7397]
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[34]	Gill A E 1982 Atmosphere-Oean Dynamics (San Diego: Academic Press) pp444—447
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[36]	Kuo H L 1949 J. Meteor. 6 105

施引文献

[1]	Matsuno T 1966 J.Meteor. Soc. Japan 44 25
[2]	Domaracki A, Loesch A Z 1977 J.Atmos. Sci. 34 486
[3]	Ripa P 1982 J.Phys.Oceanogr. 12 97
[4]	Body J P 1980a J.Phys. Oceanogr. 10 1
[5]	Body J P 1980b J.Phys. Oceanogr. 10 1699
[6]	Body J P 1984 Dyn.Atmos.Oceans 8 173
[7]	Body J P 1985 J.Phys.Oceanogr. 15 46
[8]	Body J P 1983 J.Phys.Oceanogr. 13 428
[9]	Zhao Q, Liu S K 2001 Chin. J. Atmos. Sci. 25 133(in Chinese)[赵强、刘式适 2001 大气科学 25 133]
[10]	Zhao Q, Fu Z T, Liu S K 2001 Adv. Sci. 18 418
[11]	Chraney J G, Straus D M 1980 J. Atmos. Sci. 37 1157
[12]	Feng G L, Dai X G, Wang A H, Chou J F 2001 Acta Phys. Sin. 50 606 (in Chinese)[封国林、戴新刚、王爱慧、丑纪范 2001 50 606]
[13]	Feng G L, Dong W J, Jia X J, Cao H X 2002 Acta Phys. Sin. 51 1181(in Chinese)[封国林、董文杰、贾晓静、曹鸿兴 2002 51 1181]
[14]	Feng G L, Gao X Q, Dong W J, Li J P 2008 Chaos Solitons and Fractals 37 487
[15]	Feng G L, Gong Z Q, Zhi R, Zhang D Q 2008 Chin. Phys. B 17 2745
[16]	Feng G L, Wang Q G, Hou W, Gong Z Q, Zhi R 2009 Acta Phys. Sin. 58 2853 (in Chinese)[封国林、王启光、侯威、龚志强、支蓉 2009 58 2853]
[17]	Da C J, Chou J F 2008 Acta Phys. Sin. 57 2595 (in Chinese)[达朝究、丑纪范 2008 57 2595]
[18]	Song J, Yang L G, Da C J, Zhang H Q 2009 Atmos. Ocea. Sci. Lett. 2 18
[19]	Song J, Yang L G 2009 Chin. Phys. B 18 2873
[20]	Song J, Yang L G 2009 Proc. Geophys. 25 543 (in Chinese) [宋健、杨联贵 2010 地球物理学进展 25 543]
[21]	Song J, Yang L G 2010 Acta Phys. Sin. 59 383(in Chinese) [宋健、杨联贵 2010 59 383]
[22]	Song J, Lai J F 2010 Acta Phys. Sin 59 4756 (in Chinese) [宋健、赖俊峰 2010 59 4756] 〖23] Song J, Yang L G 2010 Plateau Meteor. 29 1137
[23]	Fan E G, Zhang H Q 1998 Acta Phys. Sin. 47 353 (in Chinese)[范恩贵、张鸿庆 1998 47 353]
[24]	Fan E G, Zhang H Q 2000 Acta Phys. Sin. 49 1409 (in Chinese)[范恩贵、张鸿庆 2000 49 1409 ]
[25]	Mao J J, Yang J R 2005 Acta Phys. Sin. 54 4999 (in Chinese)[毛杰健、杨建荣 2005 54 4999]
[26]	Zhu H P, Zheng C L 2006 Acta Phys. Sin. 55 4999 (in Chinese)[朱海平、郑春龙 2006 55 4999]
[27]	Chen X F, Mo J Q, Zhang W J 2009 Acta Phys. Sin. 58 7397 (in Chinese)[陈贤峰、莫嘉琪、张伟江 2009 58 7397]
[28]	Mao J J, Yang J R 2007 Acta Phys. Sin. 56 5049 (in Chinese)[毛杰健、杨建荣 2007 56 5049]
[29]	Liu S D, Fu Z T, Liu S K, Zhao Q 2002 Acta Phys. Sin. 51 718 (in Chinese)[刘式达、付遵涛、刘式适、赵强 2002 51 718]
[30]	Liu S K, Fu Z T, Liu S D, Zhao Q 2002 Acta Phys. Sin. 51 1923 (in Chinese)[刘式适、付遵涛、刘式达、赵强 2002 51 1923 He W P, Feng G L, Dong W J, Li J P 2004 Acta Phys. Sin. 53 3258 (in Chinese)〖何文平、封国林、董文杰、李建平 2004 53 3258]
[31]	He W P, Feng G L, Wu Q, Wan S Q, Chou J F 2008 Non. Pro. Geophys. 15 601
[32]	Zhou L, Gong Z Q, Zhi R, Feng G L 2008 Acta Phys. Sin. 57 7380 (in Chinese)[周磊、龚志强、支蓉、封国林 2008 57 7380]
[33]	Charney J G 1963 J.Atmos. Sci. 20 607
[34]	Gill A E 1982 Atmosphere-Oean Dynamics (San Diego: Academic Press) pp444—447
[35]	Jeffrey A, Kawahara T 1982 Asymptotic Methods in Nonlinear Waves Theory (Melbourne: Pitman Publishing Inc.)pp256—266
[36]	Kuo H L 1949 J. Meteor. 6 105

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