PERIODIC-WAVE AND RATIONAL SOLITON SOLUTIONS OF THE BENJAMIN-ONO EQUATION

被引:64
作者
SATSUMA, J
ISHIMORI, Y
机构
[1] Department of Applied Mathematics and Physics, Faculty of Engineering, Kyoto University, Kyoto
关键词
D O I
10.1143/JPSJ.46.681
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An exact solution describing a multiple collision of periodic waves is obtained for the Benjamin-Ono equation. It is shown that the solution reduces to the rational multi-soliton solution in a long wave limit. © 1979, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.
引用
收藏
页码:681 / 687
页数:7
相关论文
共 13 条
[1]   SOLITONS AND RATIONAL SOLUTIONS OF NON-LINEAR EVOLUTION EQUATIONS [J].
ABLOWITZ, MJ ;
SATSUMA, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (10) :2180-2186
[2]  
ABLOWITZ MJ, PREPRINT
[3]   INTERNAL WAVES OF PERMANENT FORM IN FLUIDS OF GREAT DEPTH [J].
BENJAMIN, TB .
JOURNAL OF FLUID MECHANICS, 1967, 29 :559-&
[4]  
Chen H., PREPRINT
[5]   SOLITARY INTERNAL WAVES IN DEEP WATER [J].
DAVIS, RE ;
ACRIVOS, A .
JOURNAL OF FLUID MECHANICS, 1967, 29 :593-&
[6]   NONLINEAR EVOLUTION EQUATIONS GENERATED FROM BACKLUND TRANSFORMATION FOR BOUSSINESQ EQUATION [J].
HIROTA, R ;
SATSUMA, J .
PROGRESS OF THEORETICAL PHYSICS, 1977, 57 (03) :797-807
[7]  
Hirota R., 1976, Progress of Theoretical Physics Supplement, P64, DOI 10.1143/PTPS.59.64
[8]  
HIROTA R, 1976, LECTURE NOTES MATH, P40
[9]   MULTI-SOLITION-LIKE SOLUTIONS TO BENJAMIN-ONO EQUATION [J].
JOSEPH, RI .
JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (12) :2251-2258
[10]  
MATSUNO Y, PREPRINT