Dynamics of degenerate and nondegenerate solitons in the two-component nonlinear Schrodinger equations coupled to Boussinesq equation

被引：3
|
作者：
Chen, Xiang [1 ]
Mihalache, Dumitru [2 ]
Rao, Jiguang [1 ]
机构：
[1] Hubei Univ Sci & Technol, Sch Math & Stat, Xianning 437100, Hubei, Peoples R China
[2] Horia Hulubei Natl Inst Phys & Nucl Engn, POB MG-6, RO-077125 Magurele, Romania
来源：
NONLINEAR DYNAMICS | 2023年 / 111卷 / 01期
关键词：
Nondegenerate solitons; Soliton collisions; Two-component nonlinear Schrodinger equations coupled to Boussinesq equation; Bilinear KP-reduction method; PARTIALLY COHERENT SOLITONS; INVERSE SCATTERING TRANSFORM; MULTIPLE POLE SOLUTIONS; DARK-DARK SOLITONS; ORDER ROGUE WAVES; OPTICAL-FIBERS; HOMOCLINIC ORBITS; VECTOR SOLITONS; UPPER-HYBRID; INTEGRABILITY;
D O I：
10.1007/s11071-022-07869-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The paper studies the dynamics of degenerate and nondegenerate bright solitons and their collisions in the two-component nonlinear Schrodinger equations coupled to Boussinesq equation. The degenerate solitons that have only single-hump profiles, exhibit both elastic and inelastic collisions, and their velocities are identical in the two short wave (SW) components and in the long wave (LW) component. The nondegenerate single solitons have two different forms: one of them has double- or single-hump profiles and identical velocities in all SW and LW components, and the other one only admits single-hump profiles and has unequal velocities in the two SW components. The collisions of nondegenerate solitons cannot result in the redistribution of soliton intensities. Three different types of collisions of nondegenerate two-soliton solutions are studied in detail.
引用
收藏
页码：697 / 711
页数：15
相关论文
共 50 条
  • [11] Multihumped nondegenerate fundamental bright solitons in N-coupled nonlinear Schrodinger system
    Ramakrishnan, R.
    Stalin, S.
    Lakshmanan, M.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2021, 54 (14)
  • [12] Solitons for the coupled matrix nonlinear Schrodinger-type equations and the related Schrodinger flow
    Zhong, Shiping
    Zhao, Zehui
    Wan, Xinjie
    OPEN MATHEMATICS, 2023, 21 (01):
  • [13] Dynamics of optical solitons in the fifth-order nonlinear Schrodinger equation
    Feng, Haoxuan
    Wang, Xinyu
    OPTIK, 2022, 264
  • [14] Bright-dark solitons in the space-shifted nonlocal coupled nonlinear Schrodinger equation
    Ren, Ping
    Rao, Jiguang
    NONLINEAR DYNAMICS, 2022, 108 (03) : 2461 - 2470
  • [15] Analytic study on bound solitons and soliton collisions for the coupled nonlinear Schrodinger equations
    Liu, Wen-Jun
    Tian, Bo
    Xu, Tao
    Jiang, Yan
    JOURNAL OF MODERN OPTICS, 2012, 59 (05) : 470 - 483
  • [16] General N-Dark-Dark Solitons in the Coupled Nonlinear Schrodinger Equations
    Ohta, Yasuhiro
    Wang, Deng-Shan
    Yang, Jianke
    STUDIES IN APPLIED MATHEMATICS, 2011, 127 (04) : 345 - 371
  • [17] Dark-dark and dark-bright soliton interactions in the two-component defocusing nonlinear Schrodinger equation
    Dean, Garrett
    Klotz, Taylor
    Prinari, Barbara
    Vitale, Federica
    APPLICABLE ANALYSIS, 2013, 92 (02) : 379 - 397
  • [18] General N-solitons and their dynamics in several nonlocal nonlinear Schrodinger equations
    Yang, Jianke
    PHYSICS LETTERS A, 2019, 383 (04) : 328 - 337
  • [19] Rotation of the trajectories of bright solitons and realignment of intensity distribution in the coupled nonlinear Schrodinger equation
    Radha, R.
    Vinayagam, P. S.
    Porsezian, K.
    PHYSICAL REVIEW E, 2013, 88 (03):
  • [20] Vector solitons in coupled nonlinear Schrodinger equations with spatial stimulated scattering and inhomogeneous dispersion
    Gromov, E. M.
    Malomed, B. A.
    Tyutin, V. V.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 54 : 13 - 20
12345