| Burgers型方程初值问题解的稳定性及孤波解 |
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| 引用本文： | 王明亮.Burgers型方程初值问题解的稳定性及孤波解[J].数学研究及应用,1982,2(2):61-67. |
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| 作者姓名： | 王明亮 |
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| 作者单位： | 兰州大学 |
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| 摘 要： | 本文证明Burgers型方程初值问题的解在L2意义上的稳定性、唯一性;给出该方程存在扭状孤波解的条件及求扭状孤波解的方法。并指出Burgers型方程不存在钟状孤波解。
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| 收稿时间： | 1981/5/29 0:00:00 |
Stability of Solutions of Initial-Value Problem for Burgers'Type Eguation and Solitary Wave Solutions |
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| Wang Mingliang.Stability of Solutions of Initial-Value Problem for Burgers''Type Eguation and Solitary Wave Solutions[J].Journal of Mathematical Research with Applications,1982,2(2):61-67. |
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| Authors: | Wang Mingliang |
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| Institution: | Lanzhou University |
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| Abstract: | We have proved the stability of solutions of initial value problem for Burgers' type equation in L2 Sense; have given the conditions of existence of kink solitary wave solutions and a technique of looking for kink solitary wave solutions for Burgers' type equation. And we point out there are no bell solitary wave solutions for Burgers' type equation. |
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