Lü Xian-qing. Stability of the Korteweg-de Vries Solitary Wave Solution[J]. Applied Mathematics and Mechanics, 1994, 15(9): 839-840.
Citation: Lü Xian-qing. Stability of the Korteweg-de Vries Solitary Wave Solution[J]. Applied Mathematics and Mechanics, 1994, 15(9): 839-840.

Stability of the Korteweg-de Vries Solitary Wave Solution

  • Received Date: 1993-06-18
  • Publish Date: 1994-09-15
  • This paper considers the stabilily of the Korteweg-de Vries solitary wave solutionwith respect to infinitesmal dislurbance.It is found that the Korteweg-de Vries solitarywave solulion is unstable in the Liapunov sense.
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    Jeffrey Alan and Tsunehiko Kakutani,Stability of the Burgers shock wave and the Korteweg de-Vries solution,Indiana UniversiW Mathematics,20,5(1970),463-468.
    [2]
    Jeffrey,Alan and Tsunehiko Kakutani,Weak nonlinear dispersive waves:A discussion centered around the korteweg-de vries equation,SIAM Rev.,14(1972),582-643.
    [3]
    廖晓听,《稳定性的数学理论及应用》.华中师范大学出版社(1988).57-59.
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