The classification of single traveling wave solutions for the fractional coupled nonlinear Schrodinger equation

被引:20
作者
Tang, Lu [1 ]
Chen, Shanpeng [1 ]
机构
[1] Sichuan Normal Univ, Sch Math Sci, Chengdu 610066, Peoples R China
基金
高等学校博士学科点专项科研基金;
关键词
Fractional coupled nonlinear Schrodinger equation; Complete discriminant system method; Computer algebra; Traveling wave solutions; PARTIAL-DIFFERENTIAL-EQUATIONS; OPTICAL SOLITONS; DYNAMICAL BEHAVIOR; EXP-FUNCTION;
D O I
10.1007/s11082-021-03496-5
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
The main purpose of this paper is to study the single traveling wave solutions of the fractional coupled nonlinear Schrodinger equation. By using the complete discriminant system method and computer algebra with symbolic computation, a series of new single traveling wave solutions are obtained, which include trigonometric function solutions, Jacobi elliptic function solutions, hyperbolic function solutions, solitary wave solutions and rational function solutions. As you can see, we give all the classification of single traveling wave solutions for the fractional coupled nonlinear Schrodinger equation. The obtained results substantially improve or complement the corresponding conditions in the literature (Esen and Sulaiman in Optik 167:150-156, 2018), (Eslami in Appl. Math. Comput. 258:141-148, 2016), (Han et al. in Phys. Lett. 395:127217, 2021). Finally, in order to further explain the propagation of the fractional coupled nonlinear Schrodinger equation in nonlinear optics, two-dimensional and three-dimensional graphs are drawn.
引用
收藏
页数:14
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共 55 条
  • [1] Optical soliton solutions for a space-time fractional perturbed nonlinear Schr?dinger equation arising in quantum physics
    Abdoud, M. A.
    Owyed, Saud
    Abdel-Aty, A.
    Raffan, Bahaaudin M.
    Abdel-Khalek, S.
    [J]. RESULTS IN PHYSICS, 2020, 16
  • [2] Abu Hammad M., 2014, Int J Pure Appl Math, V94, P215, DOI DOI 10.12732/IJPAM.V94I2.8
  • [3] [Anonymous], 2000, COMM APPL ANAL
  • [4] Bekir A, 2015, ROM J PHYS, V60, P360
  • [5] Lotka-Volterra systems satisfying a strong Painleve property
    Bountis, Tassos
    Vanhaecke, Pol
    [J]. PHYSICS LETTERS A, 2016, 380 (47) : 3977 - 3982
  • [6] Boyd R. W., 2020, Nonlinear Optics
  • [7] Generalized exponential rational function method for extended Zakharov-Kuzetsov equation with conformable derivative
    Chanbari, Behzad
    Osman, M. S.
    Baleanu, Dumitru
    [J]. MODERN PHYSICS LETTERS A, 2019, 34 (20)
  • [8] Dynamical behavior and exact solutions for time-fractional nonlinear Schrodinger equation with parabolic law nonlinearity
    Chen, Cheng
    Jiang, Yaolin
    Wang, Zuolei
    Wu, Juanjuan
    [J]. OPTIK, 2020, 222
  • [9] Soliton solutions for the space-time nonlinear partial differential equations with fractional-orders
    Choi, Jin Hyuk
    Kim, Hyunsoo
    [J]. CHINESE JOURNAL OF PHYSICS, 2017, 55 (02) : 556 - 565
  • [10] Bifurcation and exact traveling wave solutions for dual power Zakharov-Kuznetsov-Burgers equation with fractional temporal evolution
    Das, Amiya
    Ghosh, Niladri
    Ansari, Khusboo
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (01) : 59 - 69