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.

引用

页码：51 / 54

页数：4

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