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Conditional stability of solitary-wave solutions for generalized Boussinesq equations

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  • Zhang, Weiguo
  • Feng, Liping
  • Chang, Qianshun

Abstract

In this paper, we discuss conditional stability of solitary-wave solutions in the sense of Liapunov for the Boussinesq equations with and without dissipative term. Linear stability of the exact solitary-wave solutions is shown for the two Boussinesq equations mentioned above, when small disturbance in travelling wave form satisfies certain conditions.

Suggested Citation

  • Zhang, Weiguo & Feng, Liping & Chang, Qianshun, 2007. "Conditional stability of solitary-wave solutions for generalized Boussinesq equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1108-1117.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:3:p:1108-1117
    DOI: 10.1016/j.chaos.2005.11.107
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    Cited by:

    1. Aly R. Seadawy & Syed T. R. Rizvi & Hanadi Zahed, 2023. "Lump-Type Solutions, Lump Solutions, and Mixed Rogue Waves for Coupled Nonlinear Generalized Zakharov Equations," Mathematics, MDPI, vol. 11(13), pages 1-17, June.

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