Applied Mathematics and Mechanics

, Volume 15, Issue 9, pp 885–886 | Cite as

Stability of the Korteweg-de Vries solitary wave solution

  • Lü Xian-qing


This paper considers the stability of the Korteweg-de Vries solitary wave solution with respect to infinitesmal disturbance. It is found that the Korteweg-de Vries solitary wave solution is unstable in the Liapunov sense.

Key words

Korteweg-de Vries solitary wave solution unstable infinitesmal disturbance Liapunov direct method 


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    Jeffrey Alan and Tsunehiko Kakutani, Stability of the Burgers shock wave and the Korteweg de-Vries solution,Indiana University Mathematics,20, 5 (1970), 463–468.MathSciNetCrossRefGoogle Scholar
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    Jeffrey, Alan and Tsunehiko Kakutani, Weak nonlinear dispersive waves: A discussion centered around the korteweg-de vries equation,SIAM Rev.,14 (1972), 582–643.MATHMathSciNetCrossRefGoogle Scholar
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    Liao Xiao-xin,Mathematical Theory and Application of Stability, Central China Normal University Publishing House (1988), 57–59. (in Chinese)Google Scholar

Copyright information

© SUT 1994

Authors and Affiliations

  • Lü Xian-qing
    • 1
  1. 1.Shandong Education CollegeJinan

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