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On the general form of the Benjamin-Bona-Mahony equation in fluid mechanics

Czechoslovak Journal of Physics volume 52, pages 373–377 (2002)Cite this article

Abstract

In the study of many problems of mechanical and physical sciences, various versions of the Benjamin-Bona-Mahony (BBM) equation or the regularized-long-wave equation have been proposed. In this paper, we obtain the solitary-wave solutions to the general form of the BBM equation, which fully cover the variety of the BBM solitary waves previously reported.

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Authors and Affiliations

  1. Institute of Fluid Mechanics and Department of Applied Physics, Beijing University of Aeronautics and Astronautics, 100083, Beijing, China

    Hao Zhang

  2. Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, 100083, Beijing, China

    Guang-Mei Wei

  3. Institute of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, 100083, Beijing, China

    Yi-Tian Gao

Authors
  1. Hao Zhang
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  2. Guang-Mei Wei
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  3. Yi-Tian Gao
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Additional information

This work has been supported by the China Talent Fund, by the Cheung Kong Scholars Programme of China, by the Cheung-Kong-Scholar Research Concerted Fund of Beijing University of Aeronautics and Astronautics, and by the Doctoral Education Fund in Basic Sciences of Beijing University of Aeronautics and Astronautics.

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Zhang, H., Wei, GM. & Gao, YT. On the general form of the Benjamin-Bona-Mahony equation in fluid mechanics. Czech J Phys 52, 373–377 (2002). https://doi.org/10.1023/A:1014512319030

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  • DOI: https://doi.org/10.1023/A:1014512319030

PACS

  • 05.45.Yv
  • 47.35.+i
  • 52.35.Sb

Key words

  • general form of the Benjamin-Bona-Mahony equation
  • solitary-wave solutions
  • fluid mechanics