Novel solitary wave and periodic solutions for the nonlinear Kaup-Newell equation in optical fibers

被引：25
作者：
Wang, Kang-Le [1 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Peoples R China
来源：
OPTICAL AND QUANTUM ELECTRONICS | 2024年 / 56卷 / 04期
基金：
英国科研创新办公室;
关键词：
Nonlinear Kaup-Newell equation; Solitary wave solution; Periodic solution; Modified Kudryashov method; Extended tanh function method; DIRECTIONAL-COUPLERS; SOLITONS; LUMP;
D O I：
10.1007/s11082-023-06122-8
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 primary objective of this study is to examine the behavior of the nonlinear Kaup-Newell equation. By employing the modified Kudryashov method and extended tanh function method, we have successfully derived novel solitary wave and periodic solutions. These new solutions are presented in trigonometric, hyperbolic and exponential function types. The proposed two approaches are efficient, direct and fascinating. These newly discovered solutions are illustrated using two-dimensional and three-dimensional graphs, incorporating suitable parameters values. These graphs are crucial for elucidating the dynamic properties of optical fibers.
引用
收藏
页数：19
相关论文
共 50 条
  • [21] Solitary-wave solutions to a dual equation of the Kaup-Boussinesq system
    Zhou, Jiangbo
    Tian, Lixin
    Fan, Xinghua
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 3229 - 3235
  • [22] New travelling solitary wave and periodic solutions of the generalized Kawahara equation
    Chen, Huaitang
    Yin, Huicheng
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2007, 936 : 124 - +
  • [23] PERIODIC WAVE SOLUTIONS FOR POCHHAMMER-CHREE EQUATION WITH FIVE ORDER NONLINEAR TERM AND THEIR RELATIONSHIP WITH SOLITARY WAVE SOLUTIONS
    Zhang, Weiguo
    Zhao, Yan
    Liu, Gang
    Ning, Tongke
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2010, 24 (19): : 3769 - 3783
  • [24] Extracting solitary solutions of the nonlinear Kaup-Kupershmidt (KK) equation by analytical method
    Alharthi, Mohammed Shaaf
    OPEN PHYSICS, 2023, 21 (01):
  • [25] Exact loop solutions, cusp solutions, solitary wave solutions and periodic wave solutions for the special CH-DP equation
    Li, Jibin
    Zhang, Yi
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (04) : 2502 - 2507
  • [26] Periodic and solitary wave solutions of cubic-quintic nonlinear reaction-diffusion equation with variable convection coefficients
    Bhardwaj, S. B.
    Singh, Ram Mehar
    Sharma, Kushal
    Mishra, S. C.
    PRAMANA-JOURNAL OF PHYSICS, 2016, 86 (06): : 1253 - 1258
  • [27] Solitary wave solutions, fusionable wave solutions, periodic wave solutions and interactional solutions of the (3+1)-dimensional generalized shallow water wave equation
    Zhou, Ai-Juan
    He, Bing-Jie
    MODERN PHYSICS LETTERS B, 2021, 35 (23):
  • [28] Solitary wave solutions for a higher order nonlinear Schrodinger equation
    Triki, Houria
    Taha, Thiab R.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2012, 82 (07) : 1333 - 1340
  • [29] The nonlinear Schrodinger equation with polynomial law nonlinearity: localized chirped optical and solitary wave solutions
    Aziz, N.
    Seadawy, Aly R.
    Ali, K.
    Sohail, M.
    Rizvi, S. T. R.
    OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (07)
  • [30] Uniformly constructing a series of nonlinear wave and coefficient functions' soliton solutions and double periodic solutions for the (2+1)-dimensional Broer-Kaup-Kupershmidt equation
    Chen, Y
    Wang, Q
    Lang, YH
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2005, 60 (03): : 127 - 138
12345