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
Burgers型方程初值问题解的稳定性及孤波解
Stability of Solutions of Initial-Value Problem for Burgers'Type Eguation and Solitary Wave Solutions
投稿时间:1981-05-29  
DOI:10.3770/j.issn:1000-341X.1982.02.012
中文关键词:  
英文关键词:
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作者单位
王明亮 兰州大学 
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中文摘要:
      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。
英文摘要:
      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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