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(2+1)维ZK方程的多孤立波解 被引量：2

Multi-solitary wave solutions of the (2+1)-dimensional ZK equation
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摘要 通过引入一个简单的线性变换,将(2+1)维Zakharov-Kuznetsor(ZK)方程化为一维Korteweg-de Vries(KdV)方程,然后利用KdV方程的多孤立波解得到了ZK方程的多孤立波解.结果表明,此时ZK方程的多孤立波为彼此平行的线孤子. The（2＋1）-dimensional Zakharov-Kuznetsor（ZK） equation is reduced to（1＋1）-dimensional Korteweg-de Vries（KdV） equation via introducing a simple linear transformation.The multi-solitary wave solutions of the（2＋1）-dimensonal ZK equation are derived.The results indicate that each of the solitary wave of ZK equation is line soliton and parallel with others.
作者 石玉仁 张娟 杨红娟
机构地区 西北师范大学物理与电子工程学院
出处 《西北师范大学学报（自然科学版）》 CAS 北大核心 2011年第1期30-33,共4页 Journal of Northwest Normal University(Natural Science)
基金 国家自然科学基金资助项目(10575082) 教育部科学技术研究重点项目(209128) 西北师范大学科技创新工程资助项目(NWNU-KJCXGC-03-53)
关键词 ZK方程 KDV方程 多孤立波解 ZK equation KdV equation multi-solitary wave solution
分类号 O415 [理学—理论物理]
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参考文献11

  • 1ZAKHAROV V E, KUZNETSOV E A. Three- dimensional solitons (ion acoustic solitary waves existence in nonisothermal plasma)[J]. Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki , 1974, 66(2): 594-597.
  • 2INFELD E J. Self focusing of nonlinear ion-acoustic waves and solitons in magnetized plasmas[J]. Journal of Plasma Physics, 1985, 33 ( 2 ):171 -182.
  • 3LAEDKE E W, SPATSCHEK K H. Growth rates of bending KdV solitons[J]. Journal of Plasma Physics, 1982, 28(3): 469-484.
  • 4MUNRO S, PARKES E J. The derivation of a modified Zakharov-Kuznetsov equation and the stability of its solutions [J]. Journal of Plasma Physics, 1999, 62(3): 305-317.
  • 5MUNRO S, PARKES E J. Stability of solitarywave solutions to a modified Zakharov-Kuznetsov equation[J]. Journal of Plasma Physics, 2000, 64(4): 411- 426.
  • 6ABDUL-MAJID W. Nonlinear dispersive special type of the Zakharov Kuznetsov equation ZK(n,n) with compact and noncompact structures [ J ]. Applied Mathematics and Computation, 2005, 161 (2): 577-590.
  • 7ABDUL-MAJID W. Exact solutions with solitons and periodic structures for the Zakharov-Kuznetsov ( ZK ) equation and its modified form [J]. Communications in Nonlinear Science and Numerical Simulation, 2005, 10(6): 597-606.
  • 8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
  • 9WANG Ming-liang. Solitary solutions for variant Boussinesq equations [J].Phys Lett A, 1995, 199(3): 169-172.
  • 10WANG Ming-liang. Exact solutions for a compound KdV Burgers equation [J].Phys Lett A, 1996, 213(4): 279-287.

二级参考文献14

  • 1周凌云 王瑞丽 吴光敏.非线性物理理论及应用[M].北京:科学出版社,1995.1-20.
  • 2郭柏林.非线性演化方程[M].上海:上海科技教育出版社,2000.27-29.
  • 3刘式达 刘式适.物理学中的非线性方程[M].北京:北京大学出版社,2000.294-304.
  • 4HE Ji-huan. Applications of homotopy perturbation method to nonlinear wave equations[J]. Chaos Solitons and Fractals, 2005, 26: 695-700.
  • 5TALAAT S EL-danaf, MOHAMED A Ramandan,FAYSAL E I Abd Alaal. The use of adomian decomposition method for solving the regularized longwave equation[J]. Chaos Solitons and Fractals,2005, 26: 747-757.
  • 6FENG Bao - feng, TAKUJI Kawahara. Stationary traveling-wave solutions for an unstable KdV-Burgers equation[J]. Physica D, 2000, 137:228-236.
  • 7KAZUAKI Narita. Rational and N - breather solutions for the 2D Toda lattice equation[J].journal of Methematical Analysis and Applications, 2003, 281: 757-760.
  • 8SHUKLA P K. Nonlinear waves and structures industy plasmas[J]. Phys Plamsas, 2003, 10(5):1619-1627.
  • 9DUAN Wen-shan. Nonlinear waves propagating in the electrical transmissionline[J]. Europhys Lett,2004, 66(2): 192-197.
  • 10LIN Mai- mai, DUAN Wen- shan. Nonlinear dust acoustic waves in magnetized two-ion-temperature dusty plasmas[J]. Physics of Plasmas, 2004,11(12):5710-5715.

共引文献5

同被引文献21

  • 1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
  • 2ZAKHAROV V E, KUZNETSOV E A. On the three-dimensional solitons [J]. Sov Phys, 1974, 39 : 285-288.
  • 3SHIVAMOGGI B K, ROLLINS D K. Generalized Painleve formulation of Lie group symmetries of the ZK equation[J]. Phys Lett A, 1991, 160: 263- 266.
  • 4HAMZA A M. A kinetic derivation of a generalized ZK equation for ion acoustic turbulence in magnetized plasma[J]. PhysLettA, 1994, 190: 309-316.
  • 5DUAN Wen-shan, HONG Xue-ren, SHI Yu-ren, et al. Weakly two-dimensional solitary waves on coupled nonlinear transmission lines[J]. Chin Phy Lett, 2002, 19(9):1231-1233.
  • 6Bluman G W,Kumei S.Symmetries and Differential Equations[M].New York,Berlin:Spring-Verlag,1989.
  • 7Clarkson P A,Kruskal M D.New similarity reduetions of the Boussinesq equation[J].J Math Phys,1989,30:2201.
  • 8Wang M L,Zhou Y B,Li Z B.Applications of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics[J].Phys Lett A,1996,216:67-75.
  • 9Fan E G.Extended tanh-function method and its applications to nonlinear equations[J].Phys Lett A,2000,277:212-218.
  • 10Wang M L,Li X Z.Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation[J].Chaos,Solitons Fract,2005,24:1257-1268.

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西北师范大学学报（自然科学版）
2011年 第1期

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