Construction of type-II Backlund transformation for the mKdV hierarchy

被引:6
|
作者
Gomes, J. F. [1 ]
Retore, A. L. [1 ]
Zimerman, A. H. [1 ]
机构
[1] Inst Fis Teor UNESP, BR-01140070 Sao Paulo, Brazil
基金
巴西圣保罗研究基金会;
关键词
integrable hierarchies; solitons; Backlund transformation;
D O I
10.1088/1751-8113/48/40/405203
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
From an algebraic construction of the mKdV hierarchy we observe that the space component of the Lax operator plays the role of a universal algebraic object. This fact induces the universality of a gauge transformation that relates two field configurations of a given member of the hierarchy. Such gauge transformation generates the Backlund transformation (BT). In this paper we propose a systematic construction of BT for the entire mKdV hierarchy from the known type-II BT of the sinh-Gordon theory. We explicitly construct the BT of the first few integrable models associated to positive and negative grade-time evolutions. Solutions of these transformations for several cases describing the transition from vacuum-vacuum and the vacuum to one-soliton solutions which determines the value for the auxiliary field and the Backlund parameter respectively, independently of the model. The same follows for the scattering of two one-soliton solutions. The resultant delay is determined by a condition independent of the model considered.
引用
收藏
页数:19
相关论文
共 50 条
  • [41] HYPERPROLINEMIA TYPE-II
    APPLEGARTH, DA
    DOOLEY, KC
    AMERICAN JOURNAL OF HUMAN GENETICS, 1978, 30 (06) : A20 - A20
  • [42] TYPE-II GLYCOGENOSIS
    JORAM, A
    FESSARD, C
    TRON, P
    DEMENIBU.CH
    DAILLY, R
    SEMAINE DES HOPITAUX, 1974, 50 (07): : 489 - 495
  • [43] MANNOSIDOSIS TYPE-II
    TRANCHANT, C
    REIS, J
    DIETEMANN, JL
    LANNES, B
    MAIRE, I
    WARTER, JM
    REVUE NEUROLOGIQUE, 1991, 147 (05) : 364 - 367
  • [44] ACHONDROGENESIS TYPE-II
    DILMEN, U
    KAYA, IS
    CEYHAN, M
    KALE, G
    COPUR, H
    TUNCBILEK, E
    PEDIATRIC RADIOLOGY, 1988, 19 (01) : 53 - 53
  • [45] TYPE-II ERROR
    JOHNSON, CA
    PERCEPTUAL AND MOTOR SKILLS, 1970, 31 (03) : 724 - &
  • [46] TYPE-II DIFFUSION
    PETERLIN, A
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 1978, 176 (SEP): : 26 - 26
  • [47] On a Painleve II model in steady electrolysis: Application of a backlund transformation
    Rogers, C
    Bassom, AP
    Schief, WK
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 240 (02) : 367 - 381
  • [48] Lifshitz transitions via the type-II dirac and type-II Weyl points
    K. Zhang
    G. E. Volovik
    JETP Letters, 2017, 105 : 519 - 525
  • [49] Lifshitz Transitions via the Type-II Dirac and Type-II Weyl Points
    Zhang, K.
    Volovik, G. E.
    JETP LETTERS, 2017, 105 (08) : 519 - 525
  • [50] TYPE-II ACHONDROGENESIS-HYPOCHONDROGENESIS - IDENTIFICATION OF ABNORMAL TYPE-II COLLAGEN
    GODFREY, M
    HOLLISTER, DW
    AMERICAN JOURNAL OF HUMAN GENETICS, 1988, 43 (06) : 904 - 913