| Burgers方程新的精确解及初始值问题解的封闭形式 |
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| 引用本文： | 白成林.Burgers方程新的精确解及初始值问题解的封闭形式[J].光子学报,2001,30(10):1210-1213. |
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| 作者姓名： | 白成林 |
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| 作者单位： | 山东省聊城师范学院通信工程系, |
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| 摘 要： | 利用扩展齐次平衡法,求出了Burgers方程无穷多个单孤子解和无穷多个有理函数解,特别是得到了Hopf-Cole’s变换和方程初始值问题解的封闭形式.方法简单直接,并且可以推广到其它方程.
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| 关 键 词： | 扩展齐次平衡法 Burgers方程 孤子解 有理函数解 初始值问题 |
| 收稿时间： | 2001-03-12 |
| 修稿时间： | 2001年3月12日 |
NEW EXACT SOLUTIONS AND THE CLOSE FORM OF THE SOLUTION FOR THE INITIAL VALUE PROBLEM OF THE BURGERS EQUATION |
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| Bai Chenglin.NEW EXACT SOLUTIONS AND THE CLOSE FORM OF THE SOLUTION FOR THE INITIAL VALUE PROBLEM OF THE BURGERS EQUATION[J].Acta Photonica Sinica,2001,30(10):1210-1213. |
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| Authors: | Bai Chenglin |
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| Institution: | The Communication Engineering Department of Liaocheng Teachers’ College, Shandong 252059, P. R. China |
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| Abstract: | Infinite many simple solitary wave solutions and infinite many rational functionsolutions,especially the Hopf-Cole’s transformation and the close form of the solution for the initial value problem of the Burgers equation,are obtained by using the extended homogeneous balance method that is very simply and directly. |
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| Keywords: | Extended homogeneous balance method Burgers equation Solitary wave solutions Rational function solutions Initial value problem |
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