Conditional stability of solitary-wave solutions for generalized Boussinesq equations

Weiguo Zhang, Liping Feng and Qianshun Chang

Chaos, Solitons & Fractals, 2007, vol. 32, issue 3, 1108-1117

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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:3:p:1108-1117

DOI: 10.1016/j.chaos.2005.11.107

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