New Exact Travelling Wave Solutions of Some Nonlin+Ear Evolution Equations By The(G`/G)-Expansion Method
作者： You-Ho Lee , Mi-Hye Lee , Jae-Young An
DOI: 10.5831/HMJ.2011.33.2.247
关键词: Hyperbolic function 、 Mathematics 、 Traveling wave 、 Trigonometry 、 Nonlinear evolution 、 Rational function 、 Mathematical analysis
摘要: In this paper, the(G`/G)-expansion method is used toconstruct new exact travelling wave solutions of some nonlinearevolution equations. The in general formare expressed by the hyperbolic functions, trigonometric func-tions and rational as a result many previously knownsolitary waves are recovered special cases. The(G`/G)-expansionmethod direct, concise, e ective, can be applied to manyother nonlinear evolution equations arising mathematical physics.
koreascience.or.kr参考文章(21)
F. Cariello, M. Tabor, Similarity reductions from extended Painleve´ expansions for nonintegrable evolution equations Physica D: Nonlinear Phenomena. ,vol. 53, pp. 59- 70 ,(1991) , 10.1016/0167-2789(91)90164-5
Xueqin Zhao, Hongyan Zhi, Hongqing Zhang, Improved Jacobi-function method with symbolic computation to construct new double-periodic solutions for the generalized Ito system Chaos, Solitons & Fractals. ,vol. 28, pp. 112- 126 ,(2006) , 10.1016/J.CHAOS.2005.05.016
Willy Malfliet, Willy Hereman, The tanh method: I. Exact solutions of nonlinear evolution and wave equations Physica Scripta. ,vol. 54, pp. 563- 568 ,(1996) , 10.1088/0031-8949/54/6/003
Ryogo Hirota, Exact N‐soliton solutions of the wave equation of long waves in shallow‐water and in nonlinear lattices Journal of Mathematical Physics. ,vol. 14, pp. 810- 814 ,(1973) , 10.1063/1.1666400
Mingliang Wang, Xiangzheng Li, Jinliang Zhang, The (G' G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics Physics Letters A. ,vol. 372, pp. 417- 423 ,(2008) , 10.1016/J.PHYSLETA.2007.07.051
Mingliang Wang, Xiangzheng Li, Extended F-expansion method and periodic wave solutions for the generalized Zakharov equations Physics Letters A. ,vol. 343, pp. 48- 54 ,(2005) , 10.1016/J.PHYSLETA.2005.05.085
Jin-Liang Zhang, Ming-Liang Wang, Xiang-Zheng Li, The subsidiary ordinary differential equations and the exact solutions of the higher order dispersive nonlinear Schrödinger equation Physics Letters A. ,vol. 357, pp. 188- 195 ,(2006) , 10.1016/J.PHYSLETA.2006.03.081
A.-M Wazwaz, Variants of the generalized KdV equation with compact and noncompact structures Computers & Mathematics With Applications. ,vol. 47, pp. 583- 591 ,(2004) , 10.1016/S0898-1221(04)90047-8
SA El-Wakil, MA Abdou, None, New exact travelling wave solutions using modified extended tanh-function method Chaos, Solitons & Fractals. ,vol. 31, pp. 840- 852 ,(2007) , 10.1016/J.CHAOS.2005.10.032
Mingliang Wang, Xiangzheng Li, Jinliang Zhang, Various exact solutions of nonlinear Schrödinger equation with two nonlinear terms Chaos, Solitons & Fractals. ,vol. 31, pp. 594- 601 ,(2007) , 10.1016/J.CHAOS.2005.10.009