FACTORIZATION OF GELFAND-DICKEY OPERATOR, B?CKLUND-DARBOUX TRANSFORMATION AND SYMMETRY

WANG NING

doi:10.7498/aps.48.1394

Abstract
Explicit expressions of n B?cklund-Darboux (BD) transformations and corresponding symmetries for generalized KdV (GKdV) equation, were constructed by using factorization of Gelfand-Dickey operator. This extends Lou's recent result about the BD transformations and non-local symmetries for KdV, Kadomtsev-Petviashvilli equations. As a by-product, we also derive a representation of Wronskian determinant for the GKdV solution.
Authors and contacts
WANG NING

1.
青岛海洋大学技术科学学院,青岛 266003
References

Cited By

[1]	Liu Ping, Xu Heng-Rui, Yang Jian-Rong. The Boussinesq equation: Lax pair, Bäcklund transformation, symmetry group transformation and consistent Riccati expansion solvability. Acta Physica Sinica, 2020, 69(1): 010203. doi: 10.7498/aps.69.20191316
[2]	Yao Li-Li, Yuan Cao-Jin, Qiang Jun-Jie, Feng Shao-Tong, Nie Shou-Ping. Asymmetric image encryption method based on gyrator transform and vector operation. Acta Physica Sinica, 2016, 65(21): 214203. doi: 10.7498/aps.65.214203
[3]	Qi Yu-Bo, Zhou Shi-Hong, Zhang Ren-He, Ren Yun. A passive source ranging method using the waveguide-invariant-warping operator. Acta Physica Sinica, 2015, 64(7): 074301. doi: 10.7498/aps.64.074301
[4]	Yin Bai-Qiang, He Yi-Gang, Wu Xian-Ming. A method for magnetocardiograms filtering based on singular value decomposition and S-transform. Acta Physica Sinica, 2013, 62(14): 148702. doi: 10.7498/aps.62.148702
[5]	Bi Chuan-Xing, Guo Ming-Jian, Zhang Yong-Bin, Xu Liang. An investigation of partial field decomposition using pressure gradient reference. Acta Physica Sinica, 2012, 61(15): 154301. doi: 10.7498/aps.61.154301
[6]	Zhang Guo-Ting, Huang Jun-Jie, Alatancang. Eigen-vector expansion theorem of a class of operator matrices appearing in elasticity and applications. Acta Physica Sinica, 2012, 61(14): 140205. doi: 10.7498/aps.61.140205
[7]	Ren Qun, Wang Nan, Zhang Li, Wang Jian-Yuan, Zheng Ya-Ping, Yao Wen-Jing. The effects of spinodal decomposition and nucleation on phase separation. Acta Physica Sinica, 2012, 61(19): 196401. doi: 10.7498/aps.61.196401
[8]	Zhang Qi, Wang Jin-Cheng, Zhang Ya-Cong, Yang Gen-Cang. Simulation of multi-grain solidification and subsequent spinodal decomposition by using phase field crystal model. Acta Physica Sinica, 2011, 60(8): 088104. doi: 10.7498/aps.60.088104
[9]	Xu Jing-Cheng, Zhao Ji-Jun. First-principles study of thermal decomposition of liquid nitromethane and its compressive effect. Acta Physica Sinica, 2009, 58(6): 4144-4149. doi: 10.7498/aps.58.4144
[10]	Ding Guang-Tao. Effects of gauge transformations on symmetries of Birkhoffian system. Acta Physica Sinica, 2009, 58(11): 7431-7435. doi: 10.7498/aps.58.7431
[11]	Liao Long-Guang, Fu Hong, Fu Xiu-Jun. Self-similar transformation and quasi-unit cell construction of quasi-periodic structure with twelve-fold rotational symmetry. Acta Physica Sinica, 2009, 58(10): 7088-7093. doi: 10.7498/aps.58.7088
[12]	Li Ai-Min, Li Zi-Ping. Transformation properties of gauge invariance systems at the quantum level and an application. Acta Physica Sinica, 2008, 57(12): 7571-7576. doi: 10.7498/aps.57.7571
[13]	Huang Ling. Symmetries and symmetry reductions of the coupled Burgers equation. Acta Physica Sinica, 2006, 55(8): 3864-3868. doi: 10.7498/aps.55.3864
[14]	Han Peng, Wang He-Zhou. Symmetrical invariant transformation of localization length in one-dimensional randomly-perturbed periodic structure. Acta Physica Sinica, 2005, 54(1): 338-342. doi: 10.7498/aps.54.338
[15]	Wang Ning, Yu Cheng-Jian. . Acta Physica Sinica, 2000, 49(4): 602-606. doi: 10.7498/aps.49.602
[16]	SONG FEI-JUN. SPECTRUM ANALYSIS OF IMAGING INTEGRAL OPERATOR FOR OPTICAL SYSTEMS WITH SYMMETRIC ABERRATIONS. Acta Physica Sinica, 1992, 41(5): 750-758. doi: 10.7498/aps.41.750
[17]	ZHANG LI-NING. SUPER KILLING EQUATION AND SUPERSYM-METRY TRANSFORMATION. Acta Physica Sinica, 1981, 30(1): 28-34. doi: 10.7498/aps.30.28
[18]	LI ZI-PING. THE SYMMETRY TRANSFORMATIONS OF THE CONSTRAINED SYSTEM. Acta Physica Sinica, 1981, 30(12): 1699-1706. doi: 10.7498/aps.30.1699
[19]	HUO YU-PING. UNITARY TRANSFORMATION AND GENERAL LINEAR TRANSFORMATION BY THE OPTICAL METHOD (Ⅳ)——THE PATTERN RECOGNITION AND PROJECTION OPERATOR. Acta Physica Sinica, 1980, 29(2): 153-160. doi: 10.7498/aps.29.153
[20]	HOU BAI-YU. THE SPINOR WAVE FUNCTIONS AND OPERATORS IN THE LOCAL COORDINATE SYSTEM. Acta Physica Sinica, 1963, 19(6): 341-359. doi: 10.7498/aps.19.341

Catalog

Vol. 48, Issue 8 - 1999-04-20

Metrics

Abstract views: 6858
PDF Downloads: 508
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

FACTORIZATION OF GELFAND-DICKEY OPERATOR, B?CKLUND-DARBOUX TRANSFORMATION AND SYMMETRY

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

FACTORIZATION OF GELFAND-DICKEY OPERATOR, B?CKLUND-DARBOUX TRANSFORMATION AND SYMMETRY

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About