A QUANTITATIVE ANALYSIS OF THE TRAVELLING WAVE SOLUTION OF THE KdV-BURGERS EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (11): 1013-1018.

A QUANTITATIVE ANALYSIS OF THE TRAVELLING WAVE SOLUTION OF THE KdV-BURGERS EQUATION

吕咸青

Department of Mathematics and Physics, Shandong Education College, Jinan

收稿日期:1992-07-03 出版日期:1993-11-18 发布日期:1993-11-18
通讯作者: Chien Wei-tang

A QUANTITATIVE ANALYSIS OF THE TRAVELLING WAVE SOLUTION OF THE KdV-BURGERS EQUATION

Lu Xian-qing

Department of Mathematics and Physics, Shandong Education College, Jinan

Received:1992-07-03 Online:1993-11-18 Published:1993-11-18

摘要/Abstract

摘要： By using the methods of mathematics analysis, we investigate the travelling wave solution of the KdVB equation under the assumption ν²≥4μ.We prove that the travelling wave solution is quantitatively similar to the corresponding Burgers shock wave. Then we prove that the absolute error of the general asymptotic expansion is high order quantity of the small parameter

关键词: KdVB equation, asymptotics, travelling wave

Abstract: By using the methods of mathematics analysis, we investigate the travelling wave solution of the KdVB equation under the assumption ν²≥4μ.We prove that the travelling wave solution is quantitatively similar to the corresponding Burgers shock wave. Then we prove that the absolute error of the general asymptotic expansion is high order quantity of the small parameter

Key words: KdVB equation, asymptotics, travelling wave

吕咸青. A QUANTITATIVE ANALYSIS OF THE TRAVELLING WAVE SOLUTION OF THE KdV-BURGERS EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(11): 1013-1018.

Lu Xian-qing . A QUANTITATIVE ANALYSIS OF THE TRAVELLING WAVE SOLUTION OF THE KdV-BURGERS EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(11): 1013-1018.

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A QUANTITATIVE ANALYSIS OF THE TRAVELLING WAVE SOLUTION OF THE KdV-BURGERS EQUATION

A QUANTITATIVE ANALYSIS OF THE TRAVELLING WAVE SOLUTION OF THE KdV-BURGERS EQUATION

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