A Novel Generalized Kudryashov Method for Exact Solutions of Nonlinear Evolution Equations

被引:8
|
作者
Koparan, Murat [1 ]
Kaplan, Melike [2 ]
Bekir, Ahmet [2 ]
Guner, Ozkan [3 ]
机构
[1] Anadolu Univ, Fac Educ, Dept Math Educ, Eskisehir, Turkey
[2] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math Comp, Eskisehir, Turkey
[3] Cankiri Karatekin Univ, Fac Econ & Adm Sci, Dept Int Trade, Cankiri, Turkey
关键词
TRAVELING-WAVE SOLUTIONS; TANH-FUNCTION METHOD; (G'/G)-EXPANSION METHOD;
D O I
10.1063/1.4972674
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Nonlinear evolution equation (NLEE) systems model the most essential topics in nonlinear sciences. Exact solutions of these equations play a major role in the suitable understanding of mechanisms of the various physical phenomena modelled by these NLEEs. For this reason, searching exact solutions of these equations have taken intense interest lately. In the present work, we have obtained new exact solutions of the and Kaup-Boussinesq systems with the generalized Kudryashov method.
引用
收藏
页数:7
相关论文
共 50 条
  • [41] Construction of exact solutions for a class of nonlinear systems of equations by the method of generalized separation of variables
    Zharova N.V.
    Journal of Mathematical Sciences, 2009, 163 (1) : 78 - 88
  • [42] New exact solutions for three nonlinear evolution equations
    Yao, RX
    Li, ZB
    PHYSICS LETTERS A, 2002, 297 (3-4) : 196 - 204
  • [43] Comment on 'Exact solutions to the various nonlinear evolution equations'
    Kudryashov, Nikolay A.
    Sinelshchikov, Dmitry I.
    PHYSICA SCRIPTA, 2011, 83 (01)
  • [44] Symbolic computation of exact solutions for nonlinear evolution equations
    Zhang, Lei
    Lin, Yezhi
    NONLINEAR DYNAMICS, 2015, 79 (02) : 823 - 833
  • [45] A procedure to construct exact solutions of nonlinear evolution equations
    Adem Cengiz Çevikel
    Ahmet Bekir
    Mutlu Akar
    Sait San
    Pramana, 2012, 79 : 337 - 344
  • [46] A Series of New Exact Solutions of Nonlinear Evolution Equations
    Abdou, M. A.
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (05) : 993 - 1005
  • [47] Exact solutions to a large class of nonlinear evolution equations
    Xu, GQ
    Li, ZB
    Liu, YP
    CHINESE JOURNAL OF PHYSICS, 2003, 41 (03) : 232 - 241
  • [48] Study of Integrability and Exact Solutions for Nonlinear Evolution Equations
    Rui, Weiguo
    Ma, Wen-Xiu
    Khalique, Chaudry Masood
    Zhu, Zuo-nong
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [49] A procedure to construct exact solutions of nonlinear evolution equations
    Cevikel, Adem Cengiz
    Bekir, Ahmet
    Akar, Mutlu
    San, Sait
    PRAMANA-JOURNAL OF PHYSICS, 2012, 79 (03): : 337 - 344
  • [50] NOVEL METHOD FOR GENERALIZED STABILITY ANALYSIS OF NONLINEAR IMPULSIVE EVOLUTION EQUATIONS
    Wang, JinRong
    Zhou, Yong
    Wei, Wei
    KYBERNETIKA, 2012, 48 (06) : 1211 - 1228