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Single-peak solitary wave solutions for the variant Boussinesq equations

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Abstract

This paper presents all possible smooth, cusped solitary wave solutions for the variant Boussinesq equations under the inhomogeneous boundary condition. The parametric conditions for the existence of smooth, cusped solitary wave solutions are given using the phase portrait analytical technique. Asymptotic analysis and numerical simulations are provided for smooth, cusped solitary wave solutions of the variant Boussinesq equations.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (11061010, 11161013, 11272277/A020202) and the Innovative Research Team Support Plan of Jiujiang University.

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Authors and Affiliations

  1. Department of Mathematics, Jiujiang University, Jiujiang, 332005, People’s Republic of China

    HONG LI

  2. Information Technology Center, Jiujiang University, Jiujiang, 332005, People’s Republic of China

    LILIN MA

  3. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, People’s Republic of China

    DAHE FENG

Authors
  1. HONG LI
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  2. LILIN MA
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  3. DAHE FENG
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Correspondence to HONG LI.

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LI, H., MA, L. & FENG, D. Single-peak solitary wave solutions for the variant Boussinesq equations. Pramana - J Phys 80, 933–944 (2013). https://doi.org/10.1007/s12043-013-0538-z

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  • DOI: https://doi.org/10.1007/s12043-013-0538-z

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