Exact traveling wave solutions for resonance nonlinear Schrodinger equation with intermodal dispersions and the Kerr law nonlinearity

被引：101
|
作者：
Srivastava, Hari M. [1 ,2 ]
Gunerhan, Hatira [3 ]
Ghanbari, Behzad [4 ,5 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC, Canada
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[3] Kafkas Univ, Fac Educ, Dept Math, TR-36040 Kars, Turkey
[4] Kermanshah Univ Technol, Dept Engn Sci, Kermanshah, Iran
[5] Bahcesehir Univ, Fac Engn & Nat Sci, Dept Math, TR-34349 Istanbul, Turkey
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 18期
关键词：
GERFM; intermodal dispersion; Kerr law nonlinearity; resonance nonlinear Schrodinger equation; optical solutions; solitary waves; symbolic computation; FOKAS-LENELLS EQUATION; CONSERVATION-LAWS; MODAL DISPERSIONS; SOLITONS;
D O I：
10.1002/mma.5827
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main aim of this article is to present some new exact solutions of the resonant nonlinear Schrodinger equation. These solutions are derived by using the generated exponential rational function method (GERFM). The kink-type, bright, dark, and singular soliton solutions are reported, and several numerical simulations are also included. The calculations are carried out by Maple software. All of the solutions that are derived in this paper are believed to be new and have presumably not been reported in earlier publications.
引用
收藏
页码：7210 / 7221
页数：12
相关论文
共 50 条
  • [1] Traveling wave and exact solutions for the perturbed nonlinear Schrodinger equation with Kerr law nonlinearity
    Akram, Ghazala
    Mahak, Nadia
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (06):
  • [2] Exact traveling wave solutions of perturbed nonlinear Schrodinger's equation (NLSE) with Kerr law nonlinearity
    Ozgul, Semiha
    Turan, Meltem
    Yildirim, Ahmet
    OPTIK, 2012, 123 (24): : 2250 - 2253
  • [3] A Note on Exact Traveling Wave Solutions of the Perturbed Nonlinear Schrodinger's Equation with Kerr Law Nonlinearity
    Zhang Zai-Yun
    Gan Xiang-Yang
    Yu De-Min
    Zhang Ying-Hui
    Li Xin-Ping
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 57 (05) : 764 - 770
  • [4] Traveling wave and exact solutions for the perturbed nonlinear Schrödinger equation with Kerr law nonlinearity
    Ghazala Akram
    Nadia Mahak
    The European Physical Journal Plus, 133
  • [5] Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity
    Zhang, Zai-yun
    Liu, Zhen-hai
    Miao, Xiu-jin
    Chen, Yue-zhong
    PHYSICS LETTERS A, 2011, 375 (10) : 1275 - 1280
  • [6] New exact solutions to the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity
    Zhang, Zai-yun
    Liu, Zhen-hai
    Miao, Xiu-jin
    Chen, Yue-zhong
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (10) : 3064 - 3072
  • [7] A Note on Exact Traveling Wave Solutions of the Perturbed Nonlinear Schrdinger's Equation with Kerr Law Nonlinearity
    张再云
    甘向阳
    余德民
    张映辉
    李新平
    Communications in Theoretical Physics, 2012, (05) : 764 - 770
  • [8] Exact traveling wave solutions to the nonlinear Schrodinger equation
    Abdoulkary, Saidou
    Mohamadou, Alidou
    Beda, Tibi
    Gambo, Betchewe
    Doka, Serge Y.
    Alim
    Mahamoudou, Aboubakar
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 233 : 109 - 115
  • [9] The modified (G′/G)-expansion method and traveling wave solutions of nonlinear the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity
    Miao, Xiu-jin
    Zhang, Zai-yun
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (11) : 4259 - 4267
  • [10] Generalized (G′/G)-expansion method and exact traveling wave solutions of the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity in optical fiber materials
    Zhang, Zaiyun
    Wu, Jianguo
    OPTICAL AND QUANTUM ELECTRONICS, 2017, 49 (02)
12345