ON THE RECURSION OPERATOR FOR THE NONCOMMUTATIVE BURGERS HIERARCHY

被引：8
|
作者：
Carillo, Sandra [1 ]
Schiebold, Cornelia [2 ]
机构：
[1] SAPIENZA Univ Roma, Sez Matemat, Dipartimento Sci Base & Applicate Ingn, Rome, Italy
[2] Mid Sweden Univ, Dept Nat Sci Engn & Math, S-85170 Sundsvall, Sweden
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2012年 / 19卷 / 01期
关键词：
Burgers equation; noncommutativity; recursion operators; Backlund transformations; hereditariness; EVOLUTION-EQUATIONS;
D O I：
10.1142/S1402925112500039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The noncommutative Burgers recursion operator is constructed via the Cole-Hopf transformation, and its structural properties are studied. In particular, a direct proof of its hereditary property is given.
引用
收藏
页码：27 / 37
页数：11
相关论文
共 50 条
  • [31] Noncommutative Constrained KP Hierarchy and Multi-component Noncommutative Constrained KP Hierarchy
    Qiufang LIU
    Chuanzhong LI
    Chinese Annals of Mathematics,Series B, 2019, (03) : 457 - 468
  • [32] Classification and Recursion Operators of Dark Burgers' Equation
    Chen, Mei-Dan
    Li, Biao
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2018, 73 (02): : 175 - 180
  • [33] Noncommutative Constrained KP Hierarchy and Multi-component Noncommutative Constrained KP Hierarchy
    Liu, Qiufang
    Li, Chuanzhong
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2019, 40 (03) : 457 - 468
  • [34] Operator noncommutative functions
    Augat, Meric
    McCarthy, John E.
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2023, 66 (02): : 492 - 508
  • [35] Random finite noncommutative geometries and topological recursion
    Azarfar, Shahab
    Khalkhali, Masoud
    ANNALES DE L INSTITUT HENRI POINCARE D, 2024, 11 (03): : 409 - 451
  • [36] A COMBINED KAUP-NEWELL TYPE INTEGRABLE HAMILTONIAN HIERARCHY WITH FOUR POTENTIALS AND A HEREDITARY RECURSION OPERATOR
    Ma, Wen-xiu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
  • [37] A strange recursion operator demystified
    Sergyeyev, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (15): : L257 - L262
  • [38] JUMP OPERATOR IN SET RECURSION
    NORMANN, D
    ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1979, 25 (03): : 251 - 264
  • [39] Noncommutative solitons and KP hierarchy
    Sakakibara, M
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2002, 71 (02) : 657 - 657
  • [40] A Backlund Transformation for the Burgers Hierarchy
    Cao, Xifang
    Xu, Chuanyou
    ABSTRACT AND APPLIED ANALYSIS, 2010,
12345