Soliton perturbations for a combined KdV-MKdV equation

被引:5
|
作者
Yan, JR [1 ]
Pan, LX [1 ]
Zhou, GH [1 ]
机构
[1] Hunan Normal Univ, Dept Phys, Changsha 410081, Peoples R China
关键词
D O I
10.1088/0256-307X/17/9/001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The soliton perturbations for the combined Korteweg de Vries and modified Xorteweg de Vries (KdV-MKdV) equation are studied. The first-order effects of perturbation on a soliton, namely both the slow time-dependence of the soliton parameters and the first-order correction are derived through constructing the appropriate Green's function.
引用
收藏
页码:625 / 627
页数:3
相关论文
共 50 条
  • [41] The combined KdV-mKdV equation: Bilinear approach and rational solutions with free multi-parameters
    Yuan, Rui-rui
    Shi, Ying
    Zhao, Song-lin
    Zhao, Jun-xiao
    RESULTS IN PHYSICS, 2023, 55
  • [42] Lie Group Analysis, Exact Solutions and New Conservation Laws for Combined KdV-mKdV Equation
    Chen, Cheng
    Jiang, Yao-Lin
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2020, 28 (04) : 827 - 840
  • [43] Traveling wave behavior of new (2+1)-dimensional combined KdV-mKdV equation
    Vivas-Cortez, Miguel
    Akram, Ghazala
    Sadaf, Maasoomah
    Arshed, Saima
    Rehan, Kashif
    Farooq, Kainat
    RESULTS IN PHYSICS, 2023, 45
  • [44] The study of coherent structures of combined KdV-mKdV equation through integration schemes and stability analysis
    Hussain, Ejaz
    Mahmood, Irfan
    Shah, Syed Asif Ali
    Khatoon, Mehr
    Az-Zo'bi, Emad A.
    Ragab, Adham E.
    OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (05)
  • [45] The study of coherent structures of combined KdV-mKdV equation through integration schemes and stability analysis
    Ejaz Hussain
    Irfan Mahmood
    Syed Asif Ali Shah
    Mehr Khatoon
    Emad A. Az-Zo’bi
    Adham E. Ragab
    Optical and Quantum Electronics, 56
  • [46] Solitary wave solutions for a generalized KdV-mKdV equation with distributed delays
    Du, Zengji
    Wei, Dandan
    Xu, Ying
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2014, 19 (04): : 551 - 564
  • [47] Solitary wave solutions for a generalized KdV-mKdV equation with variable coefficients
    Triki, Houria
    Taha, Thiab R.
    Wazwaz, Abdul-Majid
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2010, 80 (09) : 1867 - 1873
  • [48] Symbolic computation and abundant travelling wave solutions to KdV-mKdV equation
    Rizvi, Syed Tahir Raza
    Ali, Kashif
    Sardar, Ali
    Younis, Muhammad
    Bekir, Ahmet
    PRAMANA-JOURNAL OF PHYSICS, 2017, 88 (01):
  • [49] New solitary and optical wave structures to the (1+1)-dimensional combined KdV-mKdV equation
    Bulut, Hasan
    Sulaiman, Tukur A.
    Baskonus, Haci Mehmet
    Sandulyak, Anna A.
    OPTIK, 2017, 135 : 327 - 336
  • [50] The New Simulation of Quasiperiodic Wave, Periodic Wave, and Soliton Solutions of the KdV-mKdV Equation via a Deep Learning Method
    Zhang, Yong
    Dong, Huanhe
    Sun, Jiuyun
    Wang, Zhen
    Fang, Yong
    Kong, Yuan
    COMPUTATIONAL INTELLIGENCE AND NEUROSCIENCE, 2021, 2021