Multi-peakons and a theorem of Stieltjes

被引:228
作者
Beals, R [1 ]
Sattinger, DH
Szmigielski, J
机构
[1] Yale Univ, Dept Math, New Haven, CT 06520 USA
[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[3] Univ Saskatchewan, Dept Math, Saskatoon, SK S7N 0W0, Canada
基金
美国国家科学基金会;
关键词
D O I
10.1088/0266-5611/15/1/001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A closed form of the multi-peakon solutions of the Camassa-Holm equation is found using a theorem of Stieltjes on continued fractions. An explicit formula is obtained for the scattering shifts.
引用
收藏
页码:L1 / L4
页数:4
相关论文
共 5 条
[1]  
BEALS R, 1999, IN PRESS ADV MATH
[2]   AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS [J].
CAMASSA, R ;
HOLM, DD .
PHYSICAL REVIEW LETTERS, 1993, 71 (11) :1661-1664
[3]  
Camassa R., 1994, Adv. Appl. Mech., V31, P1, DOI DOI 10.1016/S0065-2156(08)70254-0
[4]  
KREIN MG, 1952, DOKL AKAD NAUK SSSR+, V82, P669
[5]  
STIELTJES TJ, 1918, SUR REDUCTION FRACTI, P184