HOMOGENEOUS MANIFOLDS AND MODIFIED KDV EQUATIONS

被引：7

作者：

GUIL, F

MANAS, M

机构：

[1] Departamento de Física Teórica II, Facultad de Ciencias Físicas, Universidad Complutense de Madrid

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 07期

关键词：

D O I：

10.1063/1.529236

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Each of the equations related to the Korteweg-de Vries (KdV) equation through a Miura transformation is described in terms of a homogeneous manifold associated to the loop group of SL (2,C)-valued maps on the circle.

引用

页码：1744 / 1749

页数：6

共 50 条

[1] Jordan manifolds and dispersionless KdV equations
Strachan, IAB
[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2000, 7 (04) : 495 - 510
[2] Jordan Manifolds and Dispersionless KdV Equations
I. A. B. Strachan
[J]. Journal of Nonlinear Mathematical Physics, 2000, 7 (4) : 495 - 510
[3] On complexly coupled modified KdV equations
Choudhuri, Amitava
[J]. PRAMANA-JOURNAL OF PHYSICS, 2010, 75 (04): : 709 - 718
[4] On complexly coupled modified KdV equations
Choudhuri A.
[J]. Pramana, 2010, 75 (4) : 709 - 718
[5] Discretization of coupled modified KdV equations
Hirota, R
[J]. CHAOS SOLITONS & FRACTALS, 2000, 11 (1-3) : 77 - 84
[6] INVARIANT DIFFERENTIAL EQUATIONS ON HOMOGENEOUS MANIFOLDS
HELGASON, S
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A113 - A113
[7] ''Molecule solutions'' of coupled modified KdV equations
Hirota, R
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1997, 66 (09) : 2530 - 2532
[8] Soliton solutions of a coupled modified KdV equations
Iwao, M
Hirota, R
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1997, 66 (03) : 577 - 588
[9] INVARIANT DIFFERENTIAL-EQUATIONS ON HOMOGENEOUS MANIFOLDS
HELGASON, S
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 83 (05) : 751 - 774
[10] INTEGRABILITY OF THE EULER EQUATIONS ON HOMOGENEOUS SYMPLECTIC MANIFOLDS
THI, DC
[J]. MATHEMATICS OF THE USSR-SBORNIK, 1978, 34 (06): : 707 - 713

← 1 2 3 4 5 →