UNIQUENESS OF BENJAMIN SOLITARY-WAVE SOLUTION OF THE BENJAMIN-ONO-EQUATION

被引:25
|
作者
AMICK, CJ [1 ]
TOLAND, JF [1 ]
机构
[1] UNIV BATH,SCH MATH SCI,BATH BA2 7AY,AVON,ENGLAND
关键词
D O I
10.1093/imamat/46.1-2.21
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is shown, using the maximum principle for linear elliptic equations, estimates on a Green's function, and the Cauchy-Riemann equations, that every non-constant supercritical solitary-wave solution of the pseudo-differential equation known as the Benjamin-Ono equation is one of a family of such solutions found by Benjamin in his paper where this equation first appeared in 1967.
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页码:21 / 28
页数:8
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