Chin. Phys. Lett.  1993, Vol. 10 Issue (10): 577-580    DOI:
Original Articles |
Nonlocal Lie-Bäcklund Symmetries and Olver Symmetries of the KdV Equation
LOU Senyue1,2,3;HU Xingbiao1,4
1CCAST(World Laboratory), P. 0. Box 8730, Beijing 100080 2Department of Physics, Ningbo Normal College, Ningbo 315211 (mailing address) 3Institute of Theoretical Physics, Academia Sinica, Beijing 100080 4Computing Center of Academia Sinica, Beijing 100080
Cite this article:   
LOU Senyue, HU Xingbiao 1993 Chin. Phys. Lett. 10 577-580
Download: PDF(170KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract Starting from a special nonlocal Lie Bäcklund symmetry of the KdV, mKdV. Potential mKdV and singularity manifold equation system, three sets of higher order nonlocal Olver symmetries are reobtained. The soliton solutions of these models can also be obtained from the finite Lie- Bäcklund transformations.
Keywords: 02.20.+b      03.40.-t     
Published: 01 October 1993
PACS:  02.20.+b  
  03.40.-t  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y1993/V10/I10/0577
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
LOU Senyue
HU Xingbiao
Related articles from Frontiers Journals
[1] ZHANG Jie-Fang, , MENG Jian-Ping. New Coherent Structures in the Generalized (2+1)-Dimensional Nizhnik-Novikov-Veselov System[J]. Chin. Phys. Lett., 2003, 20(7): 577-580
[2] CHEN Kai, HOU Bo-yu, YANG Wen-li, ZHEN yi. Nondynamical r-Matrix Structure of the sl2 Trigonometric Ruijsenaars-Schneider Model [J]. Chin. Phys. Lett., 1999, 16(1): 577-580
[3] LOU Sen-yue, CHEN Li-li, WU Qi-xian. New Symmetry Constraints of the Modified Kadomtsev-Petviashvili Equation[J]. Chin. Phys. Lett., 1997, 14(1): 577-580
[4] XU Xixiang. New Finite-Dimensional Integrable Systems by Binary Nonlinearization of WKI Equations[J]. Chin. Phys. Lett., 1995, 12(9): 577-580
[5] ZENG Gaojian, KUANG Leman, LI Jinhui. Coherent State of N Components and Cycle Representation[J]. Chin. Phys. Lett., 1995, 12(3): 577-580
[6] ZENG Gaojian, SU Kalin, LI Min. Relationship Between the Coulomb and Oscillator Problems in Arbitrary Dimensions [J]. Chin. Phys. Lett., 1994, 11(12): 577-580
[7] ZHANG Jiefang, HAN Ping. Symmetries of the Variable Coefficient KdV Equation and Three Hierarchies of the Integrodifferential Variable Coefficient KdV Equation [J]. Chin. Phys. Lett., 1994, 11(12): 577-580
[8] LOU Senyue*, RUAN Hangyu, CHEN Weizhong, WANG Zhenli, CHEN Lili. New Exact Solutions of the CDGSK Equation Related to a Non-local Symmetry[J]. Chin. Phys. Lett., 1994, 11(10): 577-580
[9] ZHOU Shanyou. Verma Module of Uq(B2)[J]. Chin. Phys. Lett., 1994, 11(1): 577-580
[10] ZHANG Jiefang. Six Sets of Symmetries of the Variable Coefficient Modified Korteweg-de Vries Equation[J]. Chin. Phys. Lett., 1994, 11(1): 577-580
[11] HAN Pin*, LOU Senyue. Abundant Symmetry Structure of the Kaup-Kupershmidt Hierarchies[J]. Chin. Phys. Lett., 1993, 10(5): 577-580
[12] SUN Changpu, LI Jianming*. Fermion System with Quantum Group Symmetry and Usual Fermion Realizations of S1q(2)[J]. Chin. Phys. Lett., 1992, 9(12): 577-580
[13] GE Molin, SUN changpu*, XUE Kang*. Quantum Group Constructure of Non-standard R-matrix for Yang-Baxter Equation[J]. Chin. Phys. Lett., 1991, 8(10): 577-580
[14] JI Feng, LIU Hui, YANG Zhenghai, SHI Kangjie, HE Daren, WANG Dakai. Supercritical Characteristics of a Relaxation Oscillator[J]. Chin. Phys. Lett., 1991, 8(1): 577-580
[15] WEI Hua, HOU Boyu. YANG-BAXTER EQUATION, ALGEBRAS AND BRAID GROUP FOR THE Zn-SYMMETRIC STATISTICAL MODEL [J]. Chin. Phys. Lett., 1990, 7(8): 577-580
Viewed
Full text


Abstract