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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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摘要 By using the methods of mathematics analysis, we investigate the travelling wave solution of the KdVB equation under the assumption 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 By using the methods of mathematics analysis, we investigate the travelling wave solution of the KdVB equation under the assumption 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
作者 吕咸青
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第11期1013-1018,共6页 应用数学和力学(英文版)
关键词 KdVB equation ASYMPTOTICS travelling wave KdVB equation, asymptotics, travelling wave
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