Application of the Extended G'/G-expansion Method to the Improved Eckhaus Equation

被引：0
|
作者：
Taghizadeh, Nasir [1 ]
Noori, Seyyedeh Roodabeh Moosavi [1 ]
Noori, Seyyedeh Bahareh Moosavi [1 ]
机构：
[1] Univ Guilan, Fac Math Sci, Dept Pure Math, POB 1914, Rasht, Iran
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2014年 / 9卷 / 01期
关键词：
Extended (G'/G)-expansion method; Improved Eckhaus equation; The (2+1)-dimensional Improved Eckhaus equation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the extended (G'/G)-expansion method is used to seek more general exact solutions of the improved Eckhaus equation and the (2+1)-dimensional improved Eckhaus equation. As a result, hyperbolic function solutions, trigonometric function solutions and rational function solutions with free parameters are obtained. When the parameters are taken as special values the solitary wave solutions are also derived from the traveling wave solutions. Moreover, it is shown that the proposed method is direct, effective and can be used for many other nonlinear evolution equations in mathematical physics.
引用
收藏
页码：371 / 387
页数：17
相关论文
共 50 条
  • [31] The Riccati Equation Method Combined with the Generalized Extended(G'/G)-Expansion Method for Solving the Nonlinear KPP Equation
    E.M.E.ZAYED
    Abdul-Ghani AL-NOWEHY
    Journal of Mathematical Research with Applications, 2017, 37 (05) : 577 - 590
  • [32] Generalized and Improved (G′/G)-Expansion Method Combined with Jacobi Elliptic Equation
    Akbar, M. Ali
    Mohd, Norhashidah H. J. Ali
    Zayed, E. M. E.
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 61 (06) : 669 - 676
  • [33] Generalized and Improved(G′/G)-Expansion Method Combined with Jacobi Elliptic Equation
    M.Ali Akbar
    Norhashidah Hj.Mohd.Ali
    E.M.E.Zayed
    Communications in Theoretical Physics, 2014, 61 (06) : 669 - 676
  • [34] New exact solutions to a KdV equation with drifting using multiple G'/G-expansion schemes
    He, Yinghui
    Long, Yao
    SCIENCEASIA, 2016, 42 (04): : 290 - 295
  • [35] Optical solitons with resonant nonlinear Schrodinger's equation using G′/G-expansion scheme
    Arnous, Ahmed Hassan
    Mirzazadeh, Mohammad
    Zhou, Qin
    Mahmood, Mohammad F.
    Biswas, Anjan
    Belic, Milivoj
    OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS, 2015, 9 (9-10): : 1214 - 1220
  • [36] The (ω/g)-expansion method and its application to Vakhnenko equation
    李文安
    陈浩
    张国才
    Chinese Physics B, 2009, 18 (02) : 400 - 404
  • [37] The (ω/g)-expansion method and its application to Vakhnenko equation
    Li Wen-An
    Chen Hao
    Zhang Guo-Cai
    CHINESE PHYSICS B, 2009, 18 (02) : 400 - 404
  • [38] Optical solitons in DWDM system by G′/G-expansion scheme
    Mirzazadeh, M.
    Eslami, M.
    Zhou, Q.
    Biswas, Anjan
    Belic, M.
    JOURNAL OF OPTOELECTRONICS AND ADVANCED MATERIALS, 2015, 17 (3-4): : 499 - 504
  • [39] Optical solitons in birefringent fibers with quadratic-cubic nonlinearity by extended G′/G-expansion scheme
    Biswas, Anjan
    Ekici, Mehmet
    Sonmezoglu, Abdullah
    Belic, Milivoj
    OPTIK, 2019, 178 : 59 - 65
  • [40] Exact Solutions of Damped Improved Boussinesq Equations by Extended (G′/G)-Expansion Method
    Fan, Kai
    Zhou, Cunlong
    COMPLEXITY, 2020, 2020
12345