Bright soliton solutions to the nonlocal Manakov equations of reverse-space type

被引:3
|
作者
Zhao, Nan [1 ]
Cheng, Li [2 ]
Chen, Junchao [2 ]
Zhu, Shundong [2 ]
机构
[1] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Peoples R China
[2] Lishui Univ, Dept Math, Lishui 323000, Peoples R China
基金
中国国家自然科学基金;
关键词
Reverse-space nonlocal Manakov equations; Hirota's bilinear method; KP hierarchy reduction; Bright soliton solutions; Paired soliton; DARBOUX TRANSFORMATIONS; HIERARCHY; DYNAMICS;
D O I
10.1016/j.aml.2023.108906
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Utilizing the bilinear method combined with the KP hierarchy reduction technique, bright multi-soliton solutions in terms of determinant to the nonlocal Manakov equations of reverse-space type are derived in the focusing case. Our results show that these solutions only allow an even number of solitons and each paired soliton exhibits the head-on collision with the same velocity. In the dynamic behaviors illustrated, the fundamental paired soliton supports valley and hump at the center of collision, as well as one degenerate soliton with position shifts. The higher-order soliton solutions exhibit the interaction of paired solitons, where the particular bound states include the mixed line-breathing patterns and the single breather with position shifts.
引用
收藏
页数:6
相关论文
共 50 条
  • [31] Reverse-time type nonlocal Sasa-Satsuma equation and its soliton solutions
    Yan, Xue-Wei
    Chen, Yong
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2023, 75 (07)
  • [32] Riemann–Hilbert problems and soliton solutions for the reverse space-time nonlocal Sasa–Satsuma equation
    Wen-Xin Zhang
    Yaqing Liu
    Xin Chen
    Shijie Zeng
    Nonlinear Dynamics, 2023, 111 : 10473 - 10485
  • [33] Darboux transformation and general soliton solutions for the reverse space-time nonlocal short pulse equation
    Wang, Xin
    He, Jingsong
    PHYSICA D-NONLINEAR PHENOMENA, 2023, 446
  • [34] General soliton solutions for the complex reverse space-time nonlocal mKdV equation on a finite background
    Wang, Xin
    Wang, Lei
    Du, Zhong
    He, Jinman
    Zhao, Jie
    PHYSICS OF FLUIDS, 2024, 36 (01)
  • [35] A new physically meaningful general nonlocal reverse-space nonlinear Schrödinger equation and its novel Riemann–Hilbert method via temporal-part spectral analysis for deriving soliton solutions
    Jianping Wu
    Nonlinear Dynamics, 2024, 112 : 561 - 573
  • [37] Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations
    Khare, Avinash
    Saxena, Avadh
    JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (03)
  • [38] Nonlocal modified KdV equations and their soliton solutions by Hirota Method
    Gurses, Metin
    Pekcan, Asli
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 67 : 427 - 448
  • [39] New local and nonlocal soliton solutions of a nonlocal reverse space-time mKdV equation using improved Hirota bilinear method
    Ahmad, Shabir
    Saifullah, Sayed
    Khan, Arshad
    Inc, Mustafa
    PHYSICS LETTERS A, 2022, 450
  • [40] The exact solutions to a new type space reverse nonlocal Lakshmanan–Porserzian–Daniel equation
    Caiqin Song
    Ri-Rong Fang
    Hui-Li Zhang
    Hai-qiong Zhao
    Nonlinear Dynamics, 2024, 112 : 591 - 599