THE HIGHER-TIMES APPROACH TO MULTISOLITON SOLUTIONS OF THE HARRY DYM EQUATION

被引：19
作者：
DMITRIEVA, LA
机构：
[1] Dept. of Math. and Comput. Phys., St. Petersburg Univ.
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 21期
关键词：
D O I：
10.1088/0305-4470/26/21/037
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
An N-cusp soliton solution of the Harry Dym equation (HDE) is constructed explicitly. The proposed approach is based on the algebraic 'effectivization' of the reciprocal links between the systems consisting of N higher-order analogues of the HDE and the corresponding analogues of the KdV equation. An important role in the discussed scheme belongs to the reciprocal auto-Backlund transformation for the Dym hierarchy.
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页码：6005 / 6020
页数：16
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