Controlling effect of vector and scalar crossed double-Ma breathers in a partially nonlocal nonlinear medium with a linear potential

被引:92
作者
Dai, Chao-Qing [1 ]
Zhang, Jie-Fang [2 ]
机构
[1] Zhejiang A&F Univ, Coll Sci, Linan 311300, Peoples R China
[2] Zhejiang Univ Media & Commun, Hangzhou 310018, Peoples R China
基金
中国国家自然科学基金;
关键词
Vector and scalar crossed double-Ma breather; Nonlinear Schrodinger equation; Partial nonlocal nonlinear medium; Linear potential; SCHRODINGER-EQUATION; SOLITONS; WAVES;
D O I
10.1007/s11071-020-05603-9
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
We follow our interest in a nonautonomous (2+1)-dimensional coupled nonlinear Schrodinger equation with partially nonlocal nonlinear effect and a linear potential, and get a relational expression mapping nonautonomous equation into autonomous one. Further applying the Darboux method, we find affluent vector and scalar solutions, including the crossed double-Ma breather solution. Regulating values of initial width, initial chirp and diffraction parameters so that the maximal value of accumulated time changes to compare with values of peak positions, we actualize the controlling effect of vector and scalar crossed double-Ma breathers including the complete shape, crest shape and nascent shape excitations in different linear potentials.
引用
收藏
页码:1621 / 1628
页数:8
相关论文
共 26 条
  • [1] Soliton solutions and their stabilities of three (2+1)-dimensional PT-symmetric nonlinear Schrodinger equations with higher-order diffraction and nonlinearities
    Chen, Shao-Jiang
    Lin, Jia-Ni
    Wang, Yue-Yue
    [J]. OPTIK, 2019, 194
  • [2] Excitation manipulation of three-dimensional completely localized rogue waves in a partially nonlocal and inhomogeneous nonlinear medium
    Chen, Yi-Xiang
    [J]. NONLINEAR DYNAMICS, 2019, 97 (01) : 177 - 184
  • [3] Excitation control for three-dimensional Peregrine solution and combined breather of a partially nonlocal variable-coefficient nonlinear Schrodinger equation
    Chen, Yi-Xiang
    Xu, Fang-Qian
    Hu, Yi-Liang
    [J]. NONLINEAR DYNAMICS, 2019, 95 (03) : 1957 - 1964
  • [4] Spatiotemporal vector and scalar solitons of the coupled nonlinear Schrodinger equation with spatially modulated cubic-quintic-septimal nonlinearities
    Chen, Yi-Xiang
    Zheng, Li-Hao
    Xu, Fang-Qian
    [J]. NONLINEAR DYNAMICS, 2018, 93 (04) : 2379 - 2388
  • [5] Interactions between exotic multi-valued solitons of the (2+1)-dimensional Korteweg-de Vries equation describing shallow water wave
    Dai, Chao-Qing
    Wang, Yue-Yue
    Fan, Yan
    Zhang, Jie-Fang
    [J]. APPLIED MATHEMATICAL MODELLING, 2020, 80 (80) : 506 - 515
  • [6] Three-dimensional optical solitons formed by the balance between different-order nonlinearities and high-order dispersion/diffraction in parity-time symmetric potentials
    Dai, Chao-Qing
    Fan, Yan
    Wang, Yue-Yue
    [J]. NONLINEAR DYNAMICS, 2019, 98 (01) : 489 - 499
  • [7] Re-observation on localized waves constructed by variable separation solutions of (1+1)-dimensional coupled integrable dispersionless equations via the projective Riccati equation method
    Dai, Chao-Qing
    Fan, Yan
    Zhang, Ning
    [J]. APPLIED MATHEMATICS LETTERS, 2019, 96 : 20 - 26
  • [8] Two-dimensional localized Peregrine solution and breather excited in a variable-coefficient nonlinear Schrodinger equation with partial nonlocality
    Dai, Chao-Qing
    Liu, Jiu
    Fan, Yan
    Yu, Ding-Guo
    [J]. NONLINEAR DYNAMICS, 2017, 88 (02) : 1373 - 1383
  • [9] Dai CQ, 2016, NONLINEAR DYNAM, V86, P999, DOI 10.1007/s11071-016-2941-8
  • [10] Spatiotemporal Hermite-Gaussian solitons of a (3+1)-dimensional partially nonlocal nonlinear Schrodinger equation
    Dai, Chao-Qing
    Wang, Yu
    Liu, Jiu
    [J]. NONLINEAR DYNAMICS, 2016, 84 (03) : 1157 - 1161