Wronskian solutions of the constrained Kadomtsev-Petviashvili hierarchy

被引：39

作者：

Oevel, W ^{[1
]}

Strampp, W ^{[1
]}

机构：

[1] UNIV GESAMTHSCH PADERBORN,FACHBEREICH MATH 17,D-33095 PADERBORN,GERMANY

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1996年 / 37卷 / 12期

关键词：

D O I：

10.1063/1.531788

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The integrable Kadomtsev-Petviashvili (KP) hierarchy is compatible with generalized k-constraints of the type (L(k))_ = Sigma(i) q(i) partial derivative(-1)tau(i). A large class of solutions-among them solitons-can be represented by Wronskian determinants of functions satisfying a set of linear equations. In this paper we shall obtain additional conditions for these functions imposed by the constraints. (C) 1996 American Institute of Physics.

引用

页码：6213 / 6219

页数：7

共 17 条

[1] DARBOUX-BACKLUND SOLUTIONS OF SL(P,Q) KP-KDV HIERARCHIES, CONSTRAINED GENERALIZED TODA-LATTICES, AND 2-MATRIX STRING MODEL [J].

ARATYN, H ;

NISSIMOV, E ;

PACHEVA, S .

PHYSICS LETTERS A, 1995, 201 (04) :293-305

[2]

ARATYN H, 1995, HEPTH950321

[3] THE CONSTRAINT OF THE KADOMTSEV-PETVIASHVILI EQUATION AND ITS SPECIAL SOLUTIONS [J].

CHENG, Y ;

LI, YS .

PHYSICS LETTERS A, 1991, 157 (01) :22-26

[4] CONSTRAINTS OF THE KP HIERARCHY AND MULTILINEAR FORMS [J].

CHENG, Y ;

STRAMPP, W ;

ZHANG, B .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 168 (01) :117-135

[5]

Crum M. M., 1955, Quater. J. Math. Oxford, V6, P121

[6]

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

[7]

Dickey L.A., 1991, ADV SERIES MATH PHYS, V12

[8] SOLITONS AND INFINITE DIMENSIONAL LIE-ALGEBRAS [J].

JIMBO, M ;

MIWA, T .

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1983, 19 (03) :943-1001

[9] (1+1)-DIMENSIONAL INTEGRABLE SYSTEMS AS SYMMETRY CONSTRAINTS OF (2+1)-DIMENSIONAL SYSTEMS [J].

KONOPELCHENKO, B ;

SIDORENKO, J ;

STRAMPP, W .

PHYSICS LETTERS A, 1991, 157 (01) :17-21

[10] SOLITON-EQUATIONS EXPRESSED BY TRILINEAR FORMS AND THEIR SOLUTIONS [J].

MATSUKIDAIRA, J ;

SATSUMA, J ;

STRAMPP, W .

PHYSICS LETTERS A, 1990, 147 (8-9) :467-471

← 1 2 →