Non-noether symmetries in integrable models

被引：2

作者：

Chavchanidze, G ^{[1
]}

机构：

[1] A Razmadze Inst Math, Dept Theoret Phys, GE-0193 Tbilisi, Georgia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 06期

关键词：

D O I：

10.1088/0305-4470/37/6/020

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the present paper the non-Noether symmetries of the Toda model, nonlinear Schrodinger equation and Korteweg-de Vries equations (KdV and mKdV) are discussed. It appears that these symmetries yield the complete sets of conservation laws in involution and lead to the bi-Hamiltonian realizations of the above-mentioned models.

引用

页码：2253 / 2260

页数：8

共 50 条

[21] Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical systems
Zheng, SW
Tang, YF
Fu, JL
CHINESE PHYSICS, 2006, 15 (02): : 243 - 248
[22] NON-NOETHER CONSTANTS OF MOTION
CARINENA, JF
IBORT, LA
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (01): : 1 - 7
[23] Symmetries and two types of non-Noether conservation laws of Birkhoffian system with unilateral constraints
Zhang, Y
COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 45 (02) : 239 - 244
[24] Symmetries and Two Types of Non-Noether Conservation Laws of Birkhoffian System with Unilateral Constraints
ZHANG Yi Department of Civil Engineering
CommunicationsinTheoreticalPhysics, 2006, 45 (02) : 239 - 244
[25] Non-noether charges in classical mechanics
Lucio, JL
Cabo, A
Villanueva, VM
PARTICLES AND FIELDS: SIXTH MEXICAN WORKSHOP, 1998, 445 : 348 - 351
[26] A NOTE ON NON-NOETHER CONSTANTS OF MOTION
CRAMPIN, M
PHYSICS LETTERS A, 1983, 95 (05) : 209 - 212
[27] Momentum-dependent symmetries and non-Noether conserved quantities for mechanico-electrical systems
Zheng, SW
Fu, JL
Li, XH
ACTA PHYSICA SINICA, 2005, 54 (12) : 5511 - 5516
[28] Momentum-dependent symmetries and non-Noether conserved quantities for nonholonomic nonconservative Hamilton canonical systems
Fu, JL
Chen, LQ
Chen, XW
CHINESE PHYSICS, 2006, 15 (01): : 8 - 12
[29] Momentum-dependent symmetries and non-Noether conserved quantities for nonholonomic nonconservative Hamilton canonical systems
Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China
不详
不详
不详
Chin. Phys., 2006, 1 (8-12):
[30] Involutive orbits of non-Noether symmetry groups
Chavchanidze, G
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (29): : 6517 - 6524

← 1 2 3 4 5 →