Multi-component semi-discrete coupled dispersionless integrable system, its lax pair and Darboux transformation

被引:8
|
作者
Riaz, H. Wajahat A. [1 ]
ul Hassan, Mahmood [1 ]
机构
[1] Univ Punjab, Dept Phys, Quaid E Azam Campus, Lahore 54590, Pakistan
关键词
Discrete integrable systems; Solitons; Darboux transformation;
D O I
10.1016/j.cnsns.2018.01.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Lax pair representations of multi-component semi-discrete coupled dispersionless (sdCD) integrable system have been presented. A Lax pair is derived for the multi-component sdCD system in the form of a block matrices through generalizing the 2 x 2 Lax pair matrices to the case of 2(N) x 2(N). A Darboux transformation is studied for the multi-component sdCD system and is used to compute soliton solutions of the system. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:71 / 83
页数:13
相关论文
共 50 条
  • [1] Darboux transformation of a semi-discrete coupled dispersionless integrable system
    Riaz, H. Wajahat A.
    ul Hassan, Mahmood
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 48 : 387 - 397
  • [2] Darboux transformation for a semi-discrete matrix coupled dispersionless system
    Riaz, H. W. A.
    Lin, J.
    [J]. APPLIED MATHEMATICS LETTERS, 2024, 158
  • [3] A semi-discrete integrable multi-component coherently coupled nonlinear Schrodinger system
    Zhao, Hai-qiong
    Yuan, Jinyun
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2016, 49 (27)
  • [4] On an extended semi-discrete matrix coupled dispersionless system: Darboux transformation and explicit solutions
    Riaz, H.W.A.
    Lin, J.
    Wang, J.
    [J]. Physics Letters, Section A: General, Atomic and Solid State Physics, 2024, 528
  • [5] Soliton solutions of the semi-discrete complex coupled dispersionless integrable system
    Zhang, Wei-Guo
    Wang, Meng-Yu
    Song, Caiqin
    [J]. APPLIED MATHEMATICS LETTERS, 2021, 113
  • [6] On PT-symmetric semi-discrete coupled integrable dispersionless system
    Sarfraz, H.
    Hanif, Y.
    Saleem, U.
    [J]. NONLINEAR DYNAMICS, 2020, 99 (03) : 2409 - 2419
  • [7] Darboux transformation of the generalized coupled dispersionless integrable system
    Hassan, M.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (06)
  • [8] Lax pair and Darboux transformation for multi-component modified Korteweg-de Vries equations
    Zhang, Hai-Qiang
    Tian, Bo
    Xu, Tao
    Li, He
    Zhang, Cheng
    Zhang, Huan
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (35)
  • [9] Soliton Solutions of a Multi-Component Derivative Coupled Integrable Dispersionless Equations
    Yu, Guo-Fu
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2014, 83 (07)
  • [10] Multi-component noncommutative coupled dispersionless system and its quasideterminant solutions
    Riaz, H. Wajahat A.
    ul Hassan, Mahmood
    [J]. MODERN PHYSICS LETTERS A, 2018, 33 (15)