A generalized Wadati-Konno-Ichikawa hierarchy and new finite-dimensional integrable systems

被引：34
|
作者：
Xu, XX [1 ]
机构：
[1] Shandong Univ Sci & Technol, Dept Basic Courses, Tai An 217019, Peoples R China
来源：
PHYSICS LETTERS A | 2002年 / 301卷 / 3-4期
关键词：
integrable system; trace identity; Hamiltonian system; nonlinearization; involutive solution;
D O I：
10.1016/S0375-9601(02)00957-X
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A generalized Wadati-Konno-Ichikawa eigenvalue problem is introduced and a hierarchy of infinite-dimensional integrable Hamiltonian equations related to this eigenvalue problem is obtained. The Lax pairs of the associated hierarchy are all nonlinearized into finite-dimensional completely integrable Hamiltonian systems. An involutive representation of solution of each equation in the resulting hierarchy is given. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：250 / 262
页数：13
相关论文
共 50 条
  • [11] Dynamics of the Smooth Positons of the Wadati-Konno-Ichikawa Equation
    Wang, Gai-Hua
    Zhang, Yong-Shuai
    He, Jing-Song
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2018, 69 (03) : 227 - 232
  • [12] Dynamics of the Smooth Positons of the Wadati-Konno-Ichikawa Equation
    王改华
    张永帅
    贺劲松
    CommunicationsinTheoreticalPhysics, 2018, 69 (03) : 227 - 232
  • [13] THE BACKLUND-TRANSFORMATIONS FOR THE WADATI-KONNO-ICHIKAWA SYSTEM
    XIAO, Y
    PHYSICS LETTERS A, 1990, 149 (7-8) : 369 - 370
  • [14] Wadati-Konno-Ichikawa-Type Integrable Systems and their Constructions
    Shou-Feng Shen
    Guo-Fang Wang
    Yong-Yang Jin
    Xiao-Rui Hu
    Journal of Nonlinear Mathematical Physics, 2023, 30 : 813 - 833
  • [15] The loop rogue wave solutions for the Wadati-Konno-Ichikawa equation
    Zhang, Yongshuai
    Qiu, Deqin
    Mihalache, Dumitru
    He, Jingsong
    CHAOS, 2018, 28 (10)
  • [16] Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications
    Li, Zhu
    Geng, Xianguo
    Guan, Liang
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (04) : 734 - 743
  • [17] Tri-Hamiltonian duality between the Wadati-Konno-Ichikawa hierarchy and the Song-Qu-Qiao hierarchy
    Tian, Kai
    Liu, Q. P.
    JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (04)
  • [18] Dynamics analysis for the Wadati-Konno-Ichikawa(II)-short pulse equation
    Zhao, Qiulan
    Cheng, Hongbiao
    Cao, Rui
    APPLIED MATHEMATICS LETTERS, 2022, 129
  • [19] On the Poisson structure and action-angle variables for the Wadati-Konno-Ichikawa equation
    Yin, Zhe-Yong
    Tian, Shou-Fu
    APPLIED MATHEMATICS LETTERS, 2023, 142
  • [20] Soliton Resolution for the Wadati-Konno-Ichikawa Equation with Weighted Sobolev Initial Data
    Li, Zhi-Qiang
    Tian, Shou-Fu
    Yang, Jin-Jie
    ANNALES HENRI POINCARE, 2022, 23 (07): : 2611 - 2655
12345