A REPRESENTATION OF SOLUTIONS FOR THE KP HIERARCHY AND ITS ALGEBRAIC STRUCTURE

被引：39

作者：

MIYAKE, S

OHTA, Y

SATSUMA, J

机构：

[1] HIROSHIMA UNIV, FAC ENGN, DEPT APPL MATH, HIROSHIMA 724, JAPAN

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

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1990年 / 59卷 / 01期

关键词：

dressing method; Gel'fand-Levitan-Marchenko equation; Kadomtsev-Petviashvili equation; soliton; Wronskian;

D O I：

10.1143/JPSJ.59.48

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The determinant representation of solutions for the KP equation proposed by Nakamura is generalized for all equations of the KP hierarchy. It is shown that the algebraic structure of this determinant is parallel to that of the Wronskian. The structure of the KP hierarchy in the bilinear form is clearly seen through this representation of solutions. The relation between the determinant and the solution of the Gel'fand-Levitan-Marchenko equation is also discussed. © 1990, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.

引用

页码：48 / 55

页数：8

共 21 条

[1]

Date E., 1983, Non-Linear Integrable Systems - Classical Theory and Quantum Theory. Proceedings of RIMS Symposium, P39

[2] SOLITON-SOLUTIONS OF NON-LINEAR EVOLUTION-EQUATIONS [J].