Explicit solutions for the Harry Dym equation

被引:23
作者
FUCHSSTEINER, B [1 ]
SCHULZE, T [1 ]
CARILLO, S [1 ]
机构
[1] UNIV LA SAPIENZA, DIPARTIMENTO METODI & MODELLI MATEMAT SCI APPL, I-00161 ROME, ITALY
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 01期
关键词
D O I
10.1088/0305-4470/25/1/025
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The well known link between Korteweg-de Vries and HD (Harry Dym) equations is improved in this paper by the introduction of a suitable spectral parameter in the corresponding Backlund relationship. This additional spectral parameter allows the complete transfer of the group theoretical structure between the two equations. As an application we give new solutions of the HD on finite intervals. Several plots are included. The method of solution is also applied to the Kawamoto equation.
引用
收藏
页码:223 / 230
页数:8
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