A bilinear Backlund transformation and nonlinear superposition formula for the negative Volterra hierarchy

被引：7
|
作者：
Hu, XB
Xue, WM
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
[2] Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2003年 / 72卷 / 12期
关键词：
negative Volterra hierarchy; Backlund transformation; superposition principle; Hirota's bilinear formalism;
D O I：
10.1143/JPSJ.72.3075
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A bilinear Backlund transformation (BT) and the associated nonlinear superposition formula are found for the negative Volterra hierarchy. As an application of the obtained results, soliton solutions to the negative Volterra hierarchy are re-derived.
引用
收藏
页码：3075 / 3078
页数：4
相关论文
共 50 条
  • [31] Backlund transformation for integrable hierarchies: example - mKdV hierarchy
    Gomes, J. F.
    Retore, A. L.
    Spano, N. I.
    Zimerman, A. H.
    XXXTH INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS (ICGTMP) (GROUP30), 2015, 597
  • [32] An implementation for the algorithm of the Hirota bilinear Backlund transformation of integrable hierarchies
    Yu, Guo-Fu
    Duan, Qi-Hua
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (39)
  • [33] Bilinear equations and Backlund transformation for a generalized ultradiscrete soliton solution
    Nagai, Hidetomo
    Takahashi, Daisuke
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (37)
  • [34] BILINEAR BACKLUND-TRANSFORMATIONS FOR THE KP AND K-CONSTRAINED KP HIERARCHY
    CHENG, Y
    STRAMPP, W
    ZHANG, YJ
    PHYSICS LETTERS A, 1993, 182 (01) : 71 - 76
  • [35] A linear algebraic nonlinear superposition formula
    Gordoa, PR
    Conde, JM
    PHYSICS LETTERS A, 2002, 295 (5-6) : 287 - 298
  • [36] A FORMULA RELATING INFINITESIMAL BACKLUND-TRANSFORMATIONS TO HIERARCHY GENERATING OPERATORS
    HOU, BY
    TU, GZ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (17): : 3955 - 3960
  • [37] A BILINEAR BACKLUND TRANSFORMATION FOR THE NON-LINEAR SCHRODINGER-EQUATION
    NIMMO, JJC
    PHYSICS LETTERS A, 1983, 99 (6-7) : 279 - 280
  • [38] A generalized Leznov lattice: Bilinear form, Backlund transformation, and Lax pair
    Tam, HW
    APPLIED MATHEMATICS LETTERS, 2004, 17 (01) : 35 - 42
  • [39] Construction of type-II Backlund transformation for the mKdV hierarchy
    Gomes, J. F.
    Retore, A. L.
    Zimerman, A. H.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (40)
  • [40] Integrable discretization of soliton equations via bilinear method and Backlund transformation
    Zhang YingNan
    Chang XiangKe
    Hu Juan
    Hu XingBiao
    Tam Hon-Wah
    SCIENCE CHINA-MATHEMATICS, 2015, 58 (02) : 279 - 296
12345