The Burgers equation on the semi-infinite and finite intervals

被引：45
|
作者：
Calogero, F. [1 ,2 ]
De Lillo, S. [3 ,4 ]
机构：
[1] Univ Rome La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[2] Ist Nazl Fis Nucl, Sez Roma, Rome, Italy
[3] Univ Salerno, Dipartimento Fis, I-84100 Salerno, Italy
[4] Ist Nazl Fis Nucl, Sez Napoli, Naples, Italy
来源：
NONLINEARITY | 1989年 / 2卷 / 01期
关键词：
D O I：
10.1088/0951-7715/2/1/003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The initial/boundory value problem on the semiline and on a finite interval, for the Burgen equation u(t) = u(xx) + 2u(x)u, is solved, i.e. reduced, by quadratures, to a linear integral equation of Volterra type in one independent variable, which can itself be solved by quadratures if the boundary data are time independent.
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页码：37 / 43
页数：7
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