Solving the constrained KP hierarchy by gauge transformations

被引：40

作者：

Chau, LL

Shaw, JC

Tu, MH

机构：

[1] NATL CHIAO TUNG UNIV,DEPT APPL MATH,HSINCHU,TAIWAN

[2] NATL TSING HUA UNIV,DEPT PHYS,HSINCHU,TAIWAN

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1997年 / 38卷 / 08期

关键词：

D O I：

10.1063/1.532087

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We solve the constrained Kadomtsev-Petviashvili (cKP) hierarchy by using the gauge transformation technique. We show that there are two kinds of gauge transformations which preserve the form of the Lax operator of the cKP hierarchy. One of them is differential type and the other is integral type. Through two such gauge transformations we obtain not only the Wronskian-type tau-functions for the cKP hierarchy, but also the binary-type tau-functions which have not been obtained before. (C) 1997 American Institute of Physics.

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页码：4128 / 4137

页数：10

相关论文

共 30 条

[11] CLASSICAL EXTENDED CONFORMAL ALGEBRAS ASSOCIATED WITH CONSTRAINED KP HIERARCHY [J].

HUANG, WJ ;

SHAW, JC ;

YEN, HC .

JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (06) :2959-2971

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

JIMBO, M ;

MIWA, T .

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

[13] GAUGE TRANSFORMATIONS OF CONSTRAINED KP FLOWS - NEW INTEGRABLE HIERARCHIES [J].

KUNDU, A ;

STRAMPP, W ;

OEVEL, W .

JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (06) :2972-2984

[14] MATHEMATICS OF DISPERSIVE WATER-WAVES [J].

KUPERSHMIDT, BA .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1985, 99 (01) :51-73

[15]

Matveev V. B., 1991, Darboux transformation and solitons, DOI DOI 10.1007/978-3-662-00922-2

[16] A BILINEAR N-SOLITON FORMULA FOR THE KP EQUATION [J].

NAKAMURA, A .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1989, 58 (02) :412-422

[17]

NIMMO JJC, SOLVINT9410001

[18] CONSTRAINED KP HIERARCHY AND BI-HAMILTONIAN STRUCTURES [J].

OEVEL, W ;

STRAMPP, W .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 157 (01) :51-81

[19] DARBOUX THEOREMS AND WRONSKIAN FORMULAS FOR INTEGRABLE SYSTEMS .1. CONSTRAINED KP FLOWS [J].

OEVEL, W .

PHYSICA A, 1993, 195 (3-4) :533-576

[20] Wronskian solutions of the constrained Kadomtsev-Petviashvili hierarchy [J].

Oevel, W ;

Strampp, W .

JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (12) :6213-6219