The Cauchy problem for the equation of the Burgers hierarchy

被引：6
作者：
Kudryashov, Nikolai A. [1 ]
Sinelshchikov, Dmitry I. [1 ]
机构：
[1] Natl Res Nucl Univ MEPhI, Dept Appl Math, Moscow 115409, Russia
来源：
NONLINEAR DYNAMICS | 2014年 / 76卷 / 01期
关键词：
Burgers hierarchy; Burgers equation; Sharma-Tasso-Olver equation; Cauchy problem; Cole-Hopf transformation; EVOLUTION-EQUATIONS; WAVES;
D O I：
10.1007/s11071-013-1149-4
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The Cauchy problem for the equation of the Burgers hierarchy is considered. The Green function for the associated linear problem is constructed. Using the Cole-Hopf transformation the solution of the Cauchy problem for the equation of the Burgers hierarchy is given. Several particular cases are considered and discussed.
引用
收藏
页码：561 / 569
页数：9
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