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Zakharov-Kuznetsov(ZK)非线性方程的显式行波解 被引量:2

Explicit Travelling Wave Solutions of Nonlinear Zakharov-Kuznetsov (ZK) Equation
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摘要 使用指数函数方法,借助于符号计算获得了Zakharov-Kuznetsov(ZK)方程的一些新的显式解。 By using the method of Exp - function method, the Zakharov - Kuznetsov is investigated and new exact solutions are explicitly obtained with the aid of symbolic computation.
出处 《云南师范大学学报(自然科学版)》 2010年第1期28-31,共4页 Journal of Yunnan Normal University:Natural Sciences Edition
基金 云南省自然科学基金资助项目(07Y40422 2007A196M)
关键词 行波解 指数函数法 Zakharov—Kuznetsov(ZK)方程 Travelling wave solutions Exp - function method Zakharov - Kuznetsov equation
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参考文献9

  • 1V. E. Zakharov. E. A. Kuznetsov, On three - dimensional Solitons [ J ]. Sov. Phys. 1974,39:285 - 286.
  • 2A. M. Wazwaz. The extened tanh method for the Zakharov - Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms[J]. Commun. Nonlinear Sci. Number. Simul. 2008,13:1039-1047.
  • 3S. Monro, E. J. Parkes. The derivation of a modified Zakharov - Kuznetsov equation and the stability of its solutions [ J ]. J. Plasma. Phys. 1999,62 : 305 - 317.
  • 4S. Monro, E. J. Parkes. Stability of solitary - wave solutions to a modified Zakharov - Kuznetsov equation [ J ]. J. Plasma. Phys. 2000,64:411 -426.
  • 5B. Li, Y. Chen, H. Zhang. Exact travelling wave solutions for a generalized Zakharov - Kuznetsov equation [ J ]. Appl Math. Comput. 2003,146:653 - 666.
  • 6B. R. Duffy, E. J. Parkes, Travelling solitary wave solutions to a seventh - order generalized KdV equation [ J ]. Phys Lett. A. 1996,214:271 -272.
  • 7Naranmandula, K. X. Wang. New spiky and explosive solitary wave solutions for further modified Zakharov - Kuznetsov equation[J]. Phys. Lett. A, 20052005,336:112-116.
  • 8J. H. He, X. H. Wu, Exp -function method for nonlinear wave equations [ J ]. Chaos, Sol itons Fractals, 2006,30 (3) :700 - 703.
  • 9W. Malfliet. Solitary wave solutions of nonlinear wave equations [ J ]. Am. J. Phys. 1992,60:650 - 654.

同被引文献18

  • 1朱加民.用推广的映射法研究变系数非线性发展方程[J].浙江师范大学学报(自然科学版),2004,27(4):354-359. 被引量:2
  • 2林麦麦,段文山,吕克璞.(3+1)维ZK方程的N孤子解[J].西北师范大学学报(自然科学版),2006,42(1):41-45. 被引量:6
  • 3范恩贵.联系广义Kaup-Newell谱问题的有限维和无穷维Hamilton系统,Darboux变换和多孤子解[J].河北北方学院学报(自然科学版),2006,22(1):1-13. 被引量:6
  • 4杨红娟,吕克璞,段文山,石玉仁.变系数(3+1)维ZK方程的变速孤立波解[J].西北师范大学学报(自然科学版),2007,43(2):38-40. 被引量:4
  • 5Xiao ping Liu,Chun ping Liu.Comment on:A new auxiliary equation and exact travelling wave solutions of nonlinearequationsPhysics Letters A,2006.
  • 6Li B,Chen Y,Zhang H.Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equationJournal of Applied Mathematics,2003.
  • 7ZAKHAROV V E,KUZNETSOV E A. Three-dimensional solitons[J]. Soy Phys,1974,39:285-286.
  • 8SHIVAMOGGI B K, ROLLINS D K. Generalized painleve formulation of Lie group symmetries of the ZK equation[J]. Phys Lett A, 1991,160 : 263-266.
  • 9LI Biao,CHEN Yong, ZHANG Hongqing. Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equa- tion[J]. Appl Math Comput, 2003,146 : 653-666.
  • 10WANG M L,LI X Z. Application of F-expansion to periodic wave solution for a new Hamiltonian amplitude equantion [J]. Chaos, Solitons and Fraetals, 2005,24 : 1 257-1 268.

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