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

页码：561 / 569

页数：9

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