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.
引用
收藏
页码:21 / 28
页数:8
相关论文
共 3 条
[1]  
AMICK CJ, 1990, IN PRESS ACTA MATH
[2]   INTERNAL WAVES OF PERMANENT FORM IN FLUIDS OF GREAT DEPTH [J].
BENJAMIN, TB .
JOURNAL OF FLUID MECHANICS, 1967, 29 :559-&
[3]  
Protter MH., 1984, MAXIMUM PRINCIPLES D, DOI 10.1007/978-1-4612-5282-5