Quasi-Grammian solutions of the coupled Gerdjikov-Ivanov equation

被引：0
|
作者：
Yilmaz, Halis [1 ,2 ]
机构：
[1] Univ Glasgow, Sch Math & Stat, Glasgow G12 8QQ, Scotland
[2] Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkiye
来源：
WAVE MOTION | 2024年 / 124卷
关键词：
Coupled Gerdjikov-Ivanov equation; Coupled derivative nonlinear Schrodinger; equation; Binary Darboux transformation; Quasideterminants; Quasi-Grammians; NONLINEAR SCHRODINGER-EQUATION; DARBOUX TRANSFORMATION; QUASIDETERMINANT SOLUTIONS; SOLITON; WAVES; MODULATION; SYSTEMS;
D O I：
10.1016/j.wavemoti.2023.103245
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
We construct the N-fold standard binary Darboux transformation (bDT) for the coupled Gerdjikov-Ivanov (cGI) equation. Then, using the bDT presented in this article, we explicitly construct the exact solutions of the cGI equation in terms of quasi-Grammians. As applications of the bDT, we present various particular solutions for the cGI equation, including soliton, breather, and rogue wave solutions.
引用
收藏
页数：14
相关论文
共 50 条
  • [1] Exact solutions of Gerdjikov-Ivanov equation
    Li Xiang-Zheng
    Li Xiu-Yong
    Zhao Li-Ying
    Zhang Jin-Liang
    ACTA PHYSICA SINICA, 2008, 57 (04) : 2031 - 2034
  • [2] Some localized wave solutions for the coupled Gerdjikov-Ivanov equation
    Dong, Min-Jie
    Tian, Li-Xin
    Wei, Jing-Dong
    Wang, Yun
    APPLIED MATHEMATICS LETTERS, 2021, 122
  • [3] Exact solutions of the nonlocal Gerdjikov-Ivanov equation
    Miao Li
    Yi Zhang
    Rusuo Ye
    Yu Lou
    Communications in Theoretical Physics, 2021, 73 (10) : 49 - 56
  • [4] Exact solutions of the nonlocal Gerdjikov-Ivanov equation
    Li, Miao
    Zhang, Yi
    Ye, Rusuo
    Lou, Yu
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2021, 73 (10)
  • [5] Traveling wave solutions of the generalized Gerdjikov-Ivanov equation
    Kudryashov, Nikolay A.
    OPTIK, 2020, 219
  • [6] Novel exact solutions to the perturbed Gerdjikov-Ivanov equation
    Youssoufa, Mati
    Gulsen, Selahattin
    Hashemi, Mir Sajjad
    Rezapour, Shahram
    Inc, Mustafa
    OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (07)
  • [7] The higher order rogue wave solutions of the Gerdjikov-Ivanov equation
    Guo, Lijuan
    Zhang, Yongshuai
    Xu, Shuwei
    Wu, Zhiwei
    He, Jingsong
    PHYSICA SCRIPTA, 2014, 89 (03)
  • [8] Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
    Halis Yilmaz
    Journal of Nonlinear Mathematical Physics, 2015, 22 : 32 - 46
  • [9] Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
    Yilmaz, Halis
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2015, 22 (01) : 32 - 46
  • [10] Soliton Solutions to the Coupled Gerdjikov-Ivanov Equation with Rogue-Wave-Like Phenomena
    张建兵
    公冶映茵
    陈守婷
    Chinese Physics Letters, 2017, 34 (09) : 7 - 11
12345