NONLINEAR EQUATIONS WITH SUPERPOSITION FORMULAS AND THE EXCEPTIONAL GROUP-G2 .2. CLASSIFICATION OF THE EQUATIONS

被引：5

作者：

BECKERS, J ^{[1
]}

HUSSIN, V ^{[1
]}

WINTERNITZ, P ^{[1
]}

机构：

[1] UNIV MONTREAL,CTR RECH MATH,MONTREAL H3C 3J7,QUEBEC,CANADA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1987年 / 28卷 / 03期

关键词：

D O I：

10.1063/1.527636

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：520 / 529

页数：10

共 17 条

[1] GROUP THEORETICAL APPROACH TO SUPERPOSITION RULES FOR SYSTEMS OF RICCATI-EQUATIONS [J].

ANDERSON, RL ;

HARNAD, J ;

WINTERNITZ, P .

LETTERS IN MATHEMATICAL PHYSICS, 1981, 5 (02) :143-148

[2] SYSTEMS OF ORDINARY DIFFERENTIAL-EQUATIONS WITH NON-LINEAR SUPERPOSITION PRINCIPLES [J].

ANDERSON, RL ;

HARNAD, J ;

WINTERNITZ, P .

PHYSICA D, 1982, 4 (02) :164-182

[3] A NON-LINEAR SUPERPOSITION PRINCIPLE ADMITTED BY COUPLED RICCATI-EQUATIONS OF THE PROJECTIVE TYPE [J].

ANDERSON, RL .

LETTERS IN MATHEMATICAL PHYSICS, 1980, 4 (01) :1-7

[4]

ANDERSON RL, 1982, J MATH PHYS, V24, P1062

[5] TENSOR FIELDS INVARIANT UNDER SUBGROUPS OF CONFORMAL GROUP OF SPACE-TIME [J].

BECKERS, J ;

HARNAD, J ;

PERROUD, M ;

WINTERNITZ, P .

JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (10) :2126-2153

[6] NONLINEAR EQUATIONS WITH SUPERPOSITION FORMULAS AND THE EXCEPTIONAL GROUP G-2 .1. COMPLEX AND REAL FORMS OF G-2 AND THEIR MAXIMAL SUBALGEBRAS [J].

BECKERS, J ;

HUSSIN, V ;

WINTERNITZ, P .

JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (09) :2217-2227

[7] COMPLEX PARABOLIC SUBGROUPS OF G2 AND NONLINEAR DIFFERENTIAL-EQUATIONS [J].

BECKERS, J ;

HUSSIN, V ;

WINTERNITZ, P .

LETTERS IN MATHEMATICAL PHYSICS, 1986, 11 (01) :81-86

[8] SIMPLE SUBGROUPS OF SIMPLE LIE-GROUPS AND NONLINEAR DIFFERENTIAL-EQUATIONS WITH SUPERPOSITION PRINCIPLES [J].

DELOLMO, MA ;

RODRIGUEZ, MA ;

WINTERNITZ, P .

JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (01) :14-23

[9] THE SOLITON CORRELATION MATRIX AND THE REDUCTION PROBLEM FOR INTEGRABLE SYSTEMS [J].

HARNAD, J ;

SAINTAUBIN, Y ;

SHNIDER, S .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 93 (01) :33-56

[10] BACKLUND-TRANSFORMATIONS FOR NONLINEAR SIGMA-MODELS WITH VALUES IN RIEMANNIAN SYMMETRIC-SPACES [J].

HARNAD, J ;

STAUBIN, Y ;

SHNIDER, S .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 92 (03) :329-367

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