Soliton solutions, conservation laws and modulation instability for the discrete coupled modified Korteweg-de Vries equations

被引:3
作者
Guo, Rui [1 ]
Song, Jiang-Yan [1 ]
Zhang, Hong-Tao [2 ]
Qi, Feng-Hua [3 ]
机构
[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Shanxi, Peoples R China
[2] Zhongyuan Univ Technol, Coll Sci, Zhengzhou 450007, Henan, Peoples R China
[3] Beijing Wuxi Univ, Sch Informat, Beijing 101149, Peoples R China
来源
MODERN PHYSICS LETTERS B | 2018年 / 32卷 / 14期
关键词
The discrete coupled modified Korteweg-de Vries equation; N-fold Darboux transformation; soliton solutions; conservation laws; modulation instability; NONLINEAR SCHRODINGER-EQUATION; FOLD DARBOUX TRANSFORMATION; INTEGRABLE LATTICE HIERARCHY; MAXWELL-BLOCH SYSTEM; SYMBOLIC COMPUTATION; OPTICS; MEDIA;
D O I
10.1142/S021798491850152X
中图分类号
O59 [应用物理学];
学科分类号
摘要
In this paper, the discrete coupled modified Korteweg-de Vries equations are systematically investigated. Based on the Lax pair, N-fold discrete Darboux transformation, discrete soliton solutions, conservation laws and modulation instability are analyzed and presented.
引用
收藏
页数:12
相关论文
共 43 条
  • [1] Tripole-mode and quadrupole-mode solitons in (1+1)-dimensional nonlinear media with a spatial exponentialdecay nonlocality
    Dai, Zhiping
    Yang, Zhenjun
    Ling, Xiaohui
    Zhang, Shumin
    Pang, Zhaoguang
    Li, Xingliang
    Wang, Youwen
    [J]. SCIENTIFIC REPORTS, 2017, 7
  • [2] Interaction trajectory of solitons in nonlinear media with an arbitrary degree of nonlocality
    Dai, Zhiping
    Yang, Zhenjun
    Ling, Xiaohui
    Zhang, Shumin
    Pang, Zhaoguang
    [J]. ANNALS OF PHYSICS, 2016, 366 : 13 - 21
  • [3] New solutions to mKdV equation
    Fu, ZT
    Liu, SD
    Liu, SK
    [J]. PHYSICS LETTERS A, 2004, 326 (5-6) : 364 - 374
  • [4] Gu C., 2004, Darboux Transformations in Integrable Systems: Theory and Their Applications to Geometry
  • [5] Coherently coupled solitons, breathers and rogue waves for polarized optical waves in an isotropic medium
    Guo, Rui
    Liu, Yue-Feng
    Hao, Hui-Qin
    Qi, Feng-Hua
    [J]. NONLINEAR DYNAMICS, 2015, 80 (03) : 1221 - 1230
  • [6] Breathers and localized solitons for the Hirota-Maxwell-Bloch system on constant backgrounds in erbium doped fibers
    Guo, Rui
    Hao, Hui-Qin
    [J]. ANNALS OF PHYSICS, 2014, 344 : 10 - 16
  • [7] Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrodinger equation
    Hao, Hui-Qin
    Guo, Rui
    Zhang, Jian-Wen
    [J]. NONLINEAR DYNAMICS, 2017, 88 (03) : 1615 - 1622
  • [8] Integrability aspects and soliton solutions for the inhomogeneous reduced Maxwell-Bloch system in nonlinear optics with symbolic computation
    Hao, Hui-Qin
    Zhang, Jian-Wen
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) : 1350 - 1359
  • [9] SOLITON-SOLUTIONS OF A COUPLED KORTEWEG-DEVRIES EQUATION
    HIROTA, R
    SATSUMA, J
    [J]. PHYSICS LETTERS A, 1981, 85 (8-9) : 407 - 408
  • [10] Kamchatnov A M, 2000, Nonlinear periodic waves and their modulations: an introductory course