Motion of curves on two-dimensional surfaces and soliton equations

被引：37

作者：

Gurses, M ^{[1
]}

机构：

[1] Bilkent Univ, Fac Sci, Dept Math, TR-06533 Bilkent, Turkey

来源：

PHYSICS LETTERS A | 1998年 / 241卷 / 06期

关键词：

D O I：

10.1016/S0375-9601(98)00151-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A connection is established between the soliton equations and curves moving in a three-dimensional space V-3. The signs of the self-interacting terms of the soliton equations are related to the signature of V-3. It is shown that there corresponds a moving curve to each soliton equation. (C) 1998 Elsevier Science B.V.

引用

页码：329 / 334

页数：6

共 50 条

[1] Motion of curves on two-dimensional surfaces and soliton equations
Gürses, Metin
[J]. Physics Letters, Section A: General, Atomic and Solid State Physics, 1998, 241 (06): : 329 - 334
[2] Motion of curves on two-dimensional surfaces and soliton equations
Gurses, M.
[J]. Physics Letters. Section A: General, Atomic and Solid State Physics, 241 (06):
[3] STRUCTURE OF TWO-DIMENSIONAL ROSSBY SOLITON AND MECHANISM OF ITS MOTION
REZNIK, GM
[J]. OKEANOLOGIYA, 1987, 27 (05): : 716 - 720
[4] Two-dimensional Brownian motion of atoms and dimers on solid surfaces
Tsekov, R
Ruckenstein, E
[J]. SURFACE SCIENCE, 1995, 344 (1-2) : 175 - 181
[5] TWO-DIMENSIONAL SOLITON DYNAMICS IN FERROMAGNETS
IVANOV, BA
STEPHANOVICH, VA
[J]. PHYSICS LETTERS A, 1989, 141 (1-2) : 89 - 94
[6] Laplace Sequences of Surfaces in Projective Space and Two-Dimensional Toda Equations
H. S. Hu
[J]. Letters in Mathematical Physics, 2001, 57 : 19 - 32
[7] Laplace sequences of surfaces in projective space and two-dimensional Toda equations
Hu, HS
[J]. LETTERS IN MATHEMATICAL PHYSICS, 2001, 57 (01) : 19 - 32
[8] New equations and models to describe the two-dimensional properties of solid surfaces
Hamieh, T
Toufaily, J
Fadlallah, MB
[J]. ADVANCED POWDER TECHNOLOGY, 2003, 14 (05) : 533 - 546
[9] Equations of Motion of Elastic Curvilinear Elements of Two-Dimensional Mechanisms.
Buculei, M.
[J]. Revue roumaine des sciences techniques. Serie de mecanique appliquee, 1979, 24 (03): : 465 - 469
[10] Soliton solutions and traveling wave solutions of the two-dimensional generalized nonlinear Schrodinger equations
Burdik, Cestmir
Shaikhova, Gaukhar
Rakhimzhanov, Berik
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (10):

← 1 2 3 4 5 →