Solitons and other solutions for higher-order NLS equation and quantum ZK equation using the extended simplest equation method

被引：38
|
作者：
Zayed, Elsayed M. E. [1 ]
Shohib, Reham M. A. [1 ]
Al-Nowehy, Abdul-Ghani [2 ]
机构：
[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
[2] Taiz Univ, Fac Educ & Sci, Dept Math, Taizi, Yemen
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 76卷 / 09期
关键词：
Extended simplest equation method; Higher-order NLS equation with derivative non-Kerr nonlinear terms; Quantum Zakharov-Kuznetsov equation; Solitons and other solutions; NONLINEAR SCHRODINGER-EQUATION; SOLITARY WAVE SOLUTIONS; POWER-LAW NONLINEARITY; EXP-FUNCTION METHOD; SINE-COSINE METHOD; EVOLUTION-EQUATIONS; PERIODIC-SOLUTIONS; RICCATI EQUATION; MAPPING METHOD; FORMS;
D O I：
10.1016/j.camwa.2018.08.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we apply the extended simplest equation method for constructing the solitons and other solutions of two nonlinear partial differential equations (PDEs), namely the higher-order nonlinear Schrodinger (NLS) equation with derivative non-Kerr nonlinear terms and the nonlinear quantum Zakharov-Kuznetsov (QZK) equation which play an important role in mathematical physics. The first equation describes pulse of the propagation beyond ultrashort range in optical communication systems, while the second equation arises in quantum magneto plasma. Comparison of our new results in this article with the well-known results is given. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2286 / 2303
页数：18
相关论文
共 50 条
  • [41] Controllability method for the Helmholtz equation with higher-order discretizations
    Heikkola, Erkki
    Monkola, Sanna
    Pennanen, Anssi
    Rossi, Tuomo
    JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 225 (02) : 1553 - 1576
  • [42] The application of bifurcation method to a higher-order KdV equation
    Liu, ZR
    Yang, CX
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 275 (01) : 1 - 12
  • [43] Higher-Order Method for the Solution of a Nonlinear Scalar Equation
    A. Germani
    C. Manes
    P. Palumbo
    M. Sciandrone
    Journal of Optimization Theory and Applications, 2006, 131 : 347 - 364
  • [44] Higher-order method for the solution of a nonlinear scalar equation
    Germani, A.
    Manes, C.
    Palumbo, P.
    Sciandrone, M.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2006, 131 (03) : 347 - 364
  • [45] On the Higher-Order Method for the Solution of a Nonlinear Scalar Equation
    Chen, Min
    Chang, Tsu-Shuan
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 149 (03) : 647 - 664
  • [46] On the Higher-Order Method for the Solution of a Nonlinear Scalar Equation
    Min Chen
    Tsu-Shuan Chang
    Journal of Optimization Theory and Applications, 2011, 149 : 647 - 664
  • [47] Additional solitonic and other analytical solutions for the higher-order Boussinesq-Burgers equation
    Mubaraki, Ali M.
    Nuruddeen, R. I.
    Ali, Khalid K.
    Gomez-Aguilar, J. F.
    OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (02)
  • [48] A higher-order quadratic NLS equation on the half-lineA higher-order quadratic NLS equationA. A. Himonas And Fangchi Yan
    A. Alexandrou Himonas
    Fangchi Yan
    Journal of Evolution Equations, 2025, 25 (1)
  • [49] Optical solitons with differential group delay for coupled Kundu-Eckhaus equation using extended simplest equation approach
    El Sheikh, M. M. A.
    Ahmed, Hamdy M.
    Arnous, Ahmed H.
    Rabie, Wafaa B.
    Biswas, Anjan
    Khan, Salam
    Alshomrani, Ali Saleh
    OPTIK, 2020, 208
  • [50] Exact Solutions to Nonlinear Schr(?)dinger Equation and Higher-Order Nonlinear Schr(?)inger Equation
    REN Ji RUAN Hang-Yu Department of Physics
    CommunicationsinTheoreticalPhysics, 2008, 50 (09) : 575 - 578
12345