Reductions of the Benney equations

被引：128

作者：

Gibbons, J ^{[1
]}

Tsarev, SP ^{[1
]}

机构：

[1] VA STEKLOV MATH INST,MOSCOW 117333,RUSSIA

来源：

PHYSICS LETTERS A | 1996年 / 211卷 / 01期

关键词：

D O I：

10.1016/0375-9601(95)00954-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The reductions of the Benney moment equations to systems of finitely many partial differential equations are discussed. Several families of these are constructed explicitly. These must all satisfy a compatibility condition, and the reduced equations are diagonalisable and semi-Hamiltonian. By imposing a further constraint, of scaling and Galilean invariance, the compatibility condition is reduced to a system of algebraic equations, whose solutions are described. A more general family of reductions is then constructed explicitly.

引用

页码：19 / 24

页数：6