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Spatiotemporal dynamics of lump solution to the (1 + 1)-dimensional Benjamin–Ono equation

Nonlinear Dynamics volume 89, pages 2723–2728 (2017)Cite this article

Abstract

A periodically breather solitary wave and some lump solutions are obtained via using Hirota’s bilinear method, homoclinic test approach and parameter perturbation technique for the (1 + 1)-dimensional Benjamin–Ono equation. Spatiotemporal dynamics of lump solution is investigated and discussed by choice of some parameters \(u_{0}, \beta ,\) and \(\gamma \). Finally, spatiotemporal structure of lump solution is analyzed using the extreme value theory of multivariable function.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Jishou University, Jishou, 416000, China

    Wei Tan

  2. College of Mathematics and Statistics, Yunnan University, Kunming, 650091, China

    Zhengde Dai

Authors
  1. Wei Tan
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  2. Zhengde Dai
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Correspondence to Zhengde Dai.

Additional information

The work was supported by Scientific Research Project of Education Department of Hunan Province (No: 17C1297) and Jishou University Natural Science Foundation Grant No. Jd16010.

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Tan, W., Dai, Z. Spatiotemporal dynamics of lump solution to the (1 + 1)-dimensional Benjamin–Ono equation. Nonlinear Dyn 89, 2723–2728 (2017). https://doi.org/10.1007/s11071-017-3620-0

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  • DOI: https://doi.org/10.1007/s11071-017-3620-0

Keywords

  • Benjamin–Ono equation
  • Lump solution
  • Spatiotemporal structure
  • Parameter perturbation
  • Hirota’s bilinear method