STABILITY OF THE KORTEWEG-DE VRIES SOLITARY WAVE SOLUTION

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (9): 885-886.

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STABILITY OF THE KORTEWEG-DE VRIES SOLITARY WAVE SOLUTION

Lü Xian -qing

Shandong Education College, Jinan

Received:1993-06-18 Online:1994-09-18 Published:1994-09-18

Abstract

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.

Key words: analytic mechanics, nonholonomic system, stability, Korteweg-de Vries solitary wave solution, unstable, infinitesmaldisturbance, Liapunov direct method

Lü Xian -qing. STABILITY OF THE KORTEWEG-DE VRIES SOLITARY WAVE SOLUTION. Applied Mathematics and Mechanics (English Edition), 1994, 15(9): 885-886.

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STABILITY OF THE KORTEWEG-DE VRIES SOLITARY WAVE SOLUTION

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