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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 Schrdinger 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.
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Keywords:
- equatorial Rossby wave /
- β effect /
- nonlinear Schrdinger equation /
- envelope soliton /
[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物理学报 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 物理学报 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 物理学报 58 2853]
[17] Da C J, Chou J F 2008 Acta Phys. Sin. 57 2595 (in Chinese)[达朝究、 丑纪范 2008 物理学报 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 物理学报 59 383]
[22] Song J, Lai J F 2010 Acta Phys. Sin 59 4756 (in Chinese) [宋 健、 赖俊峰 2010 物理学报 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 物理学报 47 353]
[24] Fan E G, Zhang H Q 2000 Acta Phys. Sin. 49 1409 (in Chinese)[范恩贵、 张鸿庆 2000 物理学报 49 1409 ]
[25] Mao J J, Yang J R 2005 Acta Phys. Sin. 54 4999 (in Chinese)[毛杰健、 杨建荣 2005 物理学报 54 4999]
[26] Zhu H P, Zheng C L 2006 Acta Phys. Sin. 55 4999 (in Chinese)[朱海平、郑春龙 2006 物理学报 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 物理学报 58 7397]
[28] Mao J J, Yang J R 2007 Acta Phys. Sin. 56 5049 (in Chinese)[毛杰健、 杨建荣 2007 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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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[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物理学报 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 物理学报 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 物理学报 58 2853]
[17] Da C J, Chou J F 2008 Acta Phys. Sin. 57 2595 (in Chinese)[达朝究、 丑纪范 2008 物理学报 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 物理学报 59 383]
[22] Song J, Lai J F 2010 Acta Phys. Sin 59 4756 (in Chinese) [宋 健、 赖俊峰 2010 物理学报 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 物理学报 47 353]
[24] Fan E G, Zhang H Q 2000 Acta Phys. Sin. 49 1409 (in Chinese)[范恩贵、 张鸿庆 2000 物理学报 49 1409 ]
[25] Mao J J, Yang J R 2005 Acta Phys. Sin. 54 4999 (in Chinese)[毛杰健、 杨建荣 2005 物理学报 54 4999]
[26] Zhu H P, Zheng C L 2006 Acta Phys. Sin. 55 4999 (in Chinese)[朱海平、郑春龙 2006 物理学报 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 物理学报 58 7397]
[28] Mao J J, Yang J R 2007 Acta Phys. Sin. 56 5049 (in Chinese)[毛杰健、 杨建荣 2007 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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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