关于Burgers方程族的解的注记
收稿日期: 2009-09-18
网络出版日期: 2011-02-28
基金资助
国家自然科学基金资助项目（11071157）；上海市教委重点学科建设资助项目（J50101)
Notes on Solutions to Burgers Equation Hierarchies
Received date: 2009-09-18
Online published: 2011-02-28
讨论等谱与非等谱Burgers方程族的精确解.两个方程族都可以通过Cole-Hopf变换化为线性形式,利用Wronskian方法中Wronskian元素的构造技巧给出若干不同形式的精确解,研究这些解之间的关系及动力学特征.
胡六锋,张大军 . 关于Burgers方程族的解的注记[J]. 上海大学学报(自然科学版), 2011 , 17(1) : 94 -99 . DOI: 10.3969/j.issn.1007-2861.2011
We consider exact solutions for the isospectral and nonisospectral Burgers hierarchies. The two hierarchies can be linearized through the ColeHopf transformation. Solutions are given using the technique for selecting Wronskian entries. Relationship between some solutions and their dynamic characteristics are investigated.
/
| 〈 |
|
〉 |
