CASORATI DETERMINANT SOLUTION FOR THE RELATIVISTIC TODA LATTICE EQUATION

被引：43

作者：

OHTA, Y

KAJIWARA, K

MATSUKIDAIRA, J

SATSUMA, J

机构：

[1] UNIV TOKYO, FAC ENGN, DEPT APPL PHYS, TOKYO 113, JAPAN

[2] RYUKOKU UNIV, DEPT APPL MATH & INFORMAT, OTSU 52021, JAPAN

[3] UNIV TOKYO, DEPT MATH SCI, MEGURO KU, TOKYO 153, JAPAN

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1993年 / 34卷 / 11期

关键词：

D O I：

10.1063/1.530298

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The relativistic Toda lattice equation is decomposed into three Toda systems, the Toda lattice itself, BAcklund transformation of Toda lattice, and discrete time Toda lattice. It is shown that the solutions of the equation are given in terms of the Casorati determinant. By using the Casoratian technique, the bilinear equations of Toda systems are reduced to the Laplace expansion form for determinants. The N-soliton solution is explicitly constructed in the form of the Casorati determinant.

引用

页码：5190 / 5204

页数：15

共 27 条

[21] RELATIVISTIC TODA SYSTEMS [J].