KdV孤波解的稳定性
Stability of the Korteweg-de Vries Solitary Wave Solution
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Abstract: 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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[1] 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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