Backlund transformation for solutions of the modified Volterra lattice equation

被引：6
|
作者：
Kajinaga, Y [1 ]
Wadati, M [1 ]
机构：
[1] Univ Tokyo, Grad Sch Sci, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1999年 / 68卷 / 01期
关键词：
modified Volterra lattice equation; Backlund transformations; superposition formula; multi-soliton solutions; modified KdV equation;
D O I：
10.1143/JPSJ.68.51
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present new expressions to a pair of Backlund transformations for the modified Volterra lattice equation. We derive a superposition formula to generate multi-soliton solutions. In an appropriate continuum limit, the Backlund transformations coincide with those for the modified Korteweg-de Vries equation.
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页码：51 / 54
页数：4
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