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The N-soliton solution of extended Korteweg-de Vries equation and SAR image simulation of internal solitary wave propagation

Published online by Cambridge University Press:  26 September 2014

Yuping Zhang ,
Xingxing Nie ,
Guangmei Wei  and
Ruiping Liu
Yuping Zhang*
Affiliation:
State Key Laboratory of Software Development Environment, School of Computer Science and Engineering, Beihang University, Beijing 100191, P.R. China
Xingxing Nie
Affiliation:
State Key Laboratory of Software Development Environment, School of Computer Science and Engineering, Beihang University, Beijing 100191, P.R. China
Guangmei Wei
Affiliation:
LMIB and School of Mathematics and System Sciences, Beihang University, Beijing 100191, P.R. China
Ruiping Liu
Affiliation:
LMIB and School of Mathematics and System Sciences, Beihang University, Beijing 100191, P.R. China
*
ae-mail: [email protected]
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Abstract

The extended Korteweg-de Vries (eKdV) equation is an important model for the description of internal solitary waves (ISWs) in shallow seas. The N-soliton solution of the eKdV equation is investigated by Hirota bilinear method. Direct simulation of the eKdV equation is performed for several ISWs phenomena including polarity conversion, packets and collisions by virtue of the N-soliton solution. Synthetic aperture radar (SAR) image simulations of those phenomena are also presented. Furthermore, the comparison between the simulated SAR image and the observed SAR image in the South China sea is provided, which shows that the N-soliton solution may describe various ISWs phenomena.

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 67 , Issue 3 , August 2014 , 31101
Copyright
© EDP Sciences, 2014

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References

Pingree, R.D., Mardell, G.T., Prog. Oceanogr. 14, 431 (1985)CrossRef
Huthnance, J.M., Prog. Oceanogr. 35, 353 (1995)CrossRef
Liu, A.K., Chang, Y.S., Hsu, M.K., Liang, N.K., J. Geophys. Res. 103, 7995 (1998)CrossRef
James, F.L., Peter, H.D., J. Acoust. Soc. Am. 112, 2360 (2002)
Hsu, M.K., Liu, A.K., Can. J. Remote Sens. 26, 72 (2000)CrossRef
Zheng, Q., Susanto, R., Ho, C.R., Song, Y., Xu, Q., Geophys. Res. Lett. 112, C03021 (2007)
Alpers, W., Nature 314, 245 (1985)CrossRef
Apel, J., Primciples of Ocean Physics (Academic Press, London, 1987)Google Scholar
Jackson, C., Apel, J., Synthetic Aperture Radar: Marine User’s Manual (National Environmental Satellite, Washington, 2004)Google Scholar
Hsu, M.K., Liu, A.K., Liu, C., Cont. Shelf Res. 20, 389 (2000)CrossRef
Zhao, Z., Klemas, V., Zheng, Q., Li, X., Yan, X., Remote Sens. Environ. 92, 276 (2004)CrossRef
Magalhaes, J.M., da Silva, J., Deep-Sea Res. Part I Oceanogr. Res. Pap. 69, 12 (2012)CrossRef
Shaw, P.T., Ko, D.S., Chao, S.Y., J. Geophys. Res. 114, C02019 (2009)
Du, T., Tseng, Y.H., Yan, X., J. Geophys. Res. 113, C08015 (2008)
Liu, A.K., Ramp, S.R., Zhao, Y., Tang, T.Y., IEEE J. Oceanic Eng. 29, 1144 (2004)CrossRef
Chao, S.Y., Ko, D.S., Lien, R.C., Shaw, P.T., J. Oceanogr. 63, 897 (2007)CrossRef
Fan, Z.S., Zhang, Y.L., Song, M., Acta Oceanol. Sin. 27, 36 (2008)
Cai, S.Q., Xie, J.S., J. Geophys. Res. 115, C12074 (2010)CrossRef
Lynett, P.J., Liu, P.L.F., Wave Motion 36, 221 (2002)CrossRef
Chao, S.Y., Shaw, P.T., Hsu, M.K., Yang, Y.J, J. Oceanogr. 62, 811 (2006)CrossRef
Miles, J.W., Tellus 31, 456 (1981)
Ostrovsky, L.A., Stepanyants, Y.A., Rev. Geophys. 27, 293 (1989)CrossRef
Grimshaw, R., Pelinovsky, E., Talipova, T., Physica D 132, 40 (1999)CrossRef
Lamb, K.G., J. Fluid Mech. 451, 109 (2002)CrossRef
Grimshaw, R., Pelinovsky, E., Talipova, T., Kurkin, A., J. Phys. Oceanogr. 34, 2774 (2004)CrossRef
Zhao, Z., Klemas, V., Zheng, Q., Yan, X., Geophys. Res. Lett. 30, OCE4-1 (2003)
Chow, K.W., Grimshaw, R., Ding, E., Wave Motion 43, 158 (2005)CrossRef
Hirota, R., The Direct Method in Soliton Theory (Cambridge University Press, London, 2004)CrossRefGoogle Scholar
Wei, G.M., Li, B., Nie, X.X., in Processings of International Conference on Computer Science and Electronics Engineering, Hangzhou, 2013, p. 323
Hughes, B.A., J. Geophys. Res. 83, 455 (1978)CrossRef
Alpers, W., Hengnings, I., J. Geophys. Res. 89, 10529 (1984)CrossRef
Romeiser, R., Alpers, W., J. Geophys. Res. 102, 25250 (1997)
Chong, J., Li, F., Ouyang, Y., Int. J. Remote Sens. 31, 4887 (2010)CrossRef
Shen, H., He, Y.J., J. Hydrodynam. 18, 294 (2006)CrossRef
Orr, M.H., Mignerey, P.C., J. Geophys. Res. 108, 276 (2003)CrossRef
Wei, G.M., Gao, Y.T., Hu, W., Zhang, C.Y., Eur. Phys. J. B 53, 343 (2006)CrossRef
Tian, B., Wei, G.M., Zhang, C.Y., Shan, W.R., Gao, Y.T., Phys. Lett. A. 356, 8 (2006)CrossRef