| RLW-Burgers方程的一类解析解 |
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| 引用本文： | 谈骏渝. RLW-Burgers方程的一类解析解[J]. 数学的实践与认识, 2001, 31(5): 545-549 |
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| 作者姓名： | 谈骏渝 |
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| 作者单位： | 重庆大学应用数学系 |
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| 摘 要： | 本文给出了 RLW-Burgers方程及 Kd V-Burgers方程的一类解析解 ,且可得到 RLW-Burgers方程的振荡激波解 .这些解可以表示为 Burgers方程和 Kd V方程解的线性组合 ,文末还对文 [8]作了讨论 .
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| 关 键 词： | RLW-Burgers方程 KdV-Burgers方程 行波 解析解 |
| 修稿时间： | 1998-12-18 |
A Class of Analytic Solution for RLW-Burgers Equation |
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| TAN Jun-yu. A Class of Analytic Solution for RLW-Burgers Equation[J]. Mathematics in Practice and Theory, 2001, 31(5): 545-549 |
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| Authors: | TAN Jun-yu |
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| Abstract: | A class of analytic solutions is given for RLW-Burgers equation (E 1) and KdV-Burgers equation (E 2) which include the results of some papers . In particular, the oscillation wave solution can be obtained for the equation E 1. Further, we have the following conclusion: the solutions u for the equations E 1 and E 2 can be expressed by u=U-B+σU-K, where U B is the solution fo the Burgers equation (3 2), U K is the solution of the RLW-equation (3 3) or the KdV-equation (3 4), and σ is a definite constant. Finally, the result of paper is corrected. |
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| Keywords: | RLW-Burgers equation KdV-Burgers equation Traveling wave analytic solutions |
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