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Analytical Solutions of the KDV-KZK Equation

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Acoustical Imaging

Part of the book series: Acoustical Imaging ((ACIM,volume 28))

Abstract

The KdV-KZK equation for fluids developed by me was presented at the ICSV 11 in St. Petersburg in July 2004. In this paper, I made an attempt on the analytical solutions of this equation using the perturbation method. Some physical interpretation of the solutions is given. A brief introduction to KdV-KZK equation for solids is given

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References

  1. Y.S. Lee, and M.F. Hamilton, Time-domain modeling of pulsed finite-amplitude sound beams. J.A.S.A. 97, 906–917 (1995).

    Google Scholar 

  2. X.N. Chen, and R.J. Wei, Chaotic motion of a non-propagating soliton through a period-doubling route, Selected Papers of Wei Rongjue, Nanjing University Press, 1998.

    Google Scholar 

  3. M.S. Cramer, and C. Webb, A Zobotskaya-Khohlov equation for cubic and near cubic nonlinearity, AIAA paper, 98, 2957 (1988).

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Author information

Authors and Affiliations

  1. 209-212 Innovation Center, NTU, Acoustical Technologies Singapore Pte Ltd, 16 Nanyang Drive, Singapore 637722, Republic of Singapore

    W.S. Gan

Authors
  1. W.S. Gan
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Editor information

Editors and Affiliations

  1. University of California and San Diego Veterans Affairs Healthcare System, San Diego, California, USA

    Michael P. André

  2. Japan

    Iwaki Akiyama  & Noriyoshi Chubachi  & 

  3. USA

    Michael Andre , Kenneth Erikson , James Greenleaf , Joie P. Jones , Pierre Khuri-Yakub , Hua Lee , Sidney Lees , William O’Brien , Manika Prasad , Patrick Rafter , Daniel Rouseff , Bernard Tittmann  & Robert Waag , , , , , , , , , , ,  & 

  4. Germany

    Walter Arnold , Helmut Ermert  & Bernd Granz ,  & 

  5. United Kingdom

    Jeff Bamber  & Peter Wells  & 

  6. Russia

    Valentin Burov  & Vadim M. Levin  & 

  7. France

    Mathias Fink  & Pascal Laugier  & 

  8. Singapore

    Woon S. Gan

  9. China

    Jiankai Hu

  10. Canada

    Roman Maev

  11. Italy

    Leonardo Masotti  & Piero Tortoli  & 

  12. Poland

    Andrzej Nowicki

  13. Belgium

    Johan Thijssen

  14. The Netherlands

    Anton Van der Steen

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© 2007 Springer

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Gan, W. (2007). Analytical Solutions of the KDV-KZK Equation. In: André, M.P., et al. Acoustical Imaging. Acoustical Imaging, vol 28. Springer, Dordrecht. https://doi.org/10.1007/1-4020-5721-0_47

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