The higher-order nonlinear Schrodinger's dynamical equation with fourth-order dispersion and cubic-quintic nonlinearity via dispersive analytical soliton wave solutions

被引：37
作者：
Rabie, Wafaa B. [1 ]
Ahmed, Hamdy M. [2 ]
Seadawy, Aly R. [3 ]
Althobaiti, Ali [4 ]
机构：
[1] Higher Inst Engn & Technol, Dept Phys & Engn Math, Tanta, Egypt
[2] El Shorouk Acad, Higher Inst Engn, Dept Phys & Engn Math, Cairo, Egypt
[3] Taibah Univ, Fac Sci, Math Dept, Al Madinah Al Munawarah, Saudi Arabia
[4] Taif Univ, Coll Sci, Math Dept, POB 11099, At Taif 21944, Saudi Arabia
来源：
OPTICAL AND QUANTUM ELECTRONICS | 2021年 / 53卷 / 12期
关键词：
Extended simplest equation method; Higher-order NLSE with fourth-order dispersion and cubic-quintic nonlinearity; Solitons; EXTENDED SIMPLEST EQUATION; OPTICAL SOLITONS; BRIGHT;
D O I：
10.1007/s11082-021-03278-z
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this work, we utilize the extended simplest equation method to obtain exact solutions for the higher-order nonlinear Schrodinger's equation with fourth-order dispersion and cubic-quintic nonlinearity that describe the propagation of extremely short pulses in optical fibers. With the aid of this method, we get many exact solutions like singular-bright combo soliton solutions, bright, dark and singular soliton solutions, periodic solutions and other solutions. Moreover, for the physical illustration of the obtained solutions, 3D and 2D graphs are presented.
引用
收藏
页数：25
相关论文
共 34 条
[1]   New exact traveling wave solutions of the (4+1)-dimensional Fokas equation [J].
Al-Amr, Mohammed O. ;
El-Ganaini, Shoukry .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (06) :1274-1287
[2]   Study of optical soliton fibers with power law model by means of higher-order nonlinear Schrodinger dynamical system [J].
Alamri, Sultan Z. ;
Seadawy, Aly R. ;
Al-Sharari, Haya M. .
RESULTS IN PHYSICS, 2019, 13
[3]   Optical soliton solutions of the generalized higher-order nonlinear Schrodinger equations and their applications [J].
Arshad, M. ;
Seadawy, Aly R. ;
Lu, Dianchen .
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (11)
[4]   Elliptic function and solitary wave solutions of the higher-order nonlinear Schrodinger dynamical equation with fourth-order dispersion and cubic-quintic nonlinearity and its stability [J].
Arshad, M. ;
Seadawy, Aly R. ;
Lu, Dianchen .
EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (08)
[5]   Exact bright-dark solitary wave solutions of the higher-order cubic-quintic nonlinear Schrodinger equation and its stability [J].
Arshad, M. ;
Seadawy, Aly R. ;
Lu, Dianchen .
OPTIK, 2017, 138 :40-49
[6]   Modulation stability and optical soliton solutions of nonlinear Schrodinger equation with higher order dispersion and nonlinear terms and its applications [J].
Arshad, Muhammad ;
Seadawy, Aly R. ;
Lu, Dianchen .
SUPERLATTICES AND MICROSTRUCTURES, 2017, 112 :422-434
[7]   Hydroelastic solitary wave during the head-on collision process in a stratified fluid [J].
Bhatti, M. M. ;
Lu, D. Q. .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2019, 233 (17) :6135-6148
[8]   An application of Nwogu's Boussinesq model to analyze the head-on collision process between hydroelastic solitary waves [J].
Bhatti, Muhammad Mubashir ;
Lu, Dong-Qiang .
OPEN PHYSICS, 2019, 17 (01) :177-191
[9]   Analytical Study of the Head-On Collision Process between Hydroelastic Solitary Waves in the Presence of a Uniform Current [J].
Bhatti, Muhammad Mubashir ;
Lu, Dong Qiang .
SYMMETRY-BASEL, 2019, 11 (03)
[10]   Application of the extended simplest equation method to the coupled Schrodinger-Boussinesq equation [J].
Bilige, Sudao ;
Chaolu, Temuer ;
Wang, Xiaomin .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 :517-523
1234