Classification of All Single Traveling Wave Solutions of Fractional Perturbed Gerdjikov-Ivanov Equation

被引：12
作者：
Li, Zhao [1 ,2 ]
Han, Tianyong [1 ,2 ]
机构：
[1] Chengdu Univ, Coll Comp Sci, Chengdu 610106, Peoples R China
[2] Chengdu Univ, Inst Higher Educ Sichuan Prov, Key Lab Pattern Recognit & Intelligent Informat P, Chengdu 610106, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2021年 / 2021卷
关键词：
D O I：
10.1155/2021/1283083
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The fractional perturbed Gerdjikov-Ivanov (pGI) equation plays a momentous role in nonlinear fiber optics, especially in the application of photonic crystal fibers. Constructing traveling wave solutions to this equation is a very challenging task in physics and mathematics. In the current article, our main purpose is to give the classifications of traveling wave solutions of the fractional pGI equation. These results can help physicists to further explain the complex fractional pGI equation.
引用
收藏
页数：7
相关论文
共 18 条
[1]   Optical soliton perturbation for Gerdjikov-Ivanov equation via two analytical techniques [J].
Arshed, Saima ;
Biswas, Anjan ;
Abdelaty, Mahmoud ;
Zhou, Qin ;
Moshokoa, Seithuti P. ;
Belic, Milivoj .
CHINESE JOURNAL OF PHYSICS, 2018, 56 (06) :2879-2886
[2]   Two reliable techniques for the soliton solutions of perturbed Gerdjikov-Ivanov equation [J].
Arshed, Saima .
OPTIK, 2018, 164 :93-99
[3]   Solitons for perturbed Gerdjikov-Ivanov equation in optical fibers and PCF by extended Kudryashov's method [J].
Biswas, Anjan ;
Yildirim, Yakup ;
Yasar, Emrullah ;
Zhou, Qin ;
Alshomrani, Ali Saleh ;
Moshokoa, Seithuti P. ;
Belic, Milivoj .
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (03)
[4]   Bifurcations and solutions for the generalized nonlinear Schrodinger equation [J].
Du, Lingxi ;
Sun, Yuhuai ;
Wu, Dashan .
PHYSICS LETTERS A, 2019, 383 (36)
[5]   New Optical Solutions of the Fractional Gerdjikov-Ivanov Equation With Conformable Derivative [J].
Ghanbari, Behzad ;
Baleanu, Dumitru .
FRONTIERS IN PHYSICS, 2020, 8
[6]   Bifurcation and new exact traveling wave solutions to time-space coupled fractional nonlinear Schrodinger equation [J].
Han, Tianyong ;
Li, Zhao ;
Zhang, Xue .
PHYSICS LETTERS A, 2021, 395
[7]   Bifurcations and new exact travelling wave solutions for the Gerdjikov-Ivanov equation [J].
He, Bin ;
Meng, Qing .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (07) :1783-1790
[8]   Dynamics of optical solitons in the perturbed Gerdjikov-Ivanov equation [J].
Hosseini, K. ;
Mirzazadeh, M. ;
Ilie, M. ;
Radmehr, S. .
OPTIK, 2020, 206
[9]   A new definition of fractional derivative [J].
Khalil, R. ;
Al Horani, M. ;
Yousef, A. ;
Sababheh, M. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 264 :65-70
[10]   Some optical soliton solutions to the perturbed nonlinear Schrodinger equation by modified Khater method [J].
Khater, Mostafa M. A. ;
Anwar, Sadia ;
Tariq, Kalim U. ;
Mohamed, Mohamed S. .
AIP ADVANCES, 2021, 11 (02)
12