| GENERAL |
|
|
|
|
The Soliton Solutions of A (2+1)-Dimensional Integrable Equation of Classical Spin System |
| DENG Ming |
| Institute of Mathematics and Interdisciplinary Science, School of Mathematical Science, Capital Normal University, Beijing 100048 |
|
| Cite this article: |
|
DENG Ming 2009 Chin. Phys. Lett. 26 120203 |
|
|
|
|
Abstract We present the bilinear equivalence expression of a (2+1)-dimensional integrable equation of a classical spin system. Based on this, we construct its single-soliton solutions and two-soliton solutions by Hirota's bilinear method. Meanwhile we show the evolution and propagation manners of two-solitons of the spin system graphically.
|
| Keywords:
02.30.Ik
75.10.Hk
|
|
|
Received: 01 June 2009
Published: 27 November 2009
|
|
|
|
|
|
|
|
[1] Wahlquist H D and Estabrook F B 1975 J. Math. Phys. 16 1
[2] Morris H C 1976 J. Math. Phys. 17 1870 Morris H C 1979 J. Phys. A: Math. Gen. 12 261
[3] Zhang D G and Yang G X 1990 J. Phys. A: Math. Gen. 23 2133
[4] Zhao W Z, Li M L, Qi Y H and Wu K 2005 Commun. Theor.Phys. 44 415
[5] Ishimori Y 1984 Prog. Theor. Phys. 72 33
[6] Myrzakulov R, Nugmanova G N and Syzdykova R N 1998 J.Phys. A: Math. Gen. 31 9535
[7] Zhai Y, Albeverio S, Zhao W Z and Wu K 2006 J. Phys.A: Math. Gen. 39 2117
[8] Myrzakulov R, Vijayalakshmi S, Syzdykova R N andLakshmanan M 1998 J. Math. Phys. 39 2122
[9] Hirota R 1971 Phys. Rev. Lett. 27 1192
[10] Yang J R and Mao J J 2008 Chin. Phys. Lett. 25 1527
[11] Xu X G, Meng X H and Gao Y T 2008 Chin. Phys. Lett. 25 3890
[12] Zhao S L, Zhang D J and Chen D Y 2009 Chin. Phys.Lett. 26 030202
[13] You F C, Zhang J and Hao H H 2009 Chin. Phys. Lett. 26 090201 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
