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(2+1)维破裂孤子方程组的精确解

EXPLICIT SOLUTIONS OF(2+1)-DIMENSIONAL BREAKING SOLITION EQUATIONS
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摘要 利用推广的(w/g)展开法,并借助于计算机代数系统maple,获得了(2+l)维破裂孤子方程组新的显式解,包括单循环孤立子解、三角周期解、有理函数解等。 Applying the generalized (w/g) -expansion method and with the help of computer algebraic system maple, the explicit travelling solutions of the (2+1)-dimensional breaking solition equations were obtained, which included soliton solution, the trigonometric functions and the rational functions.
出处 《井冈山大学学报(自然科学版)》 2014年第4期23-26,共4页 Journal of Jinggangshan University (Natural Science)
基金 国家自然科学基金和中国工程物理研究院联合基金项目(11076015)
关键词 (2+1)维破裂孤子方程组 (w/g)展开法 显式解 齐次平衡 (2+1)-dimensional breaking solition equations the (w/g)-expansion method explicit solutions homogeneous balance principle
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参考文献13

  • 1Weiss J,Tabor M,Carnevale G.The Painlevéproperty for partial differential equations[J].Journal of Mathematical Physics,1983,24(3):522-526. 被引量:1
  • 2Parkes E J,Duffy B R.An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations[J].Computer Physics Communications,1996,98(3):288-300. 被引量:1
  • 3AbdusalamΗA.On an improved complex tanh-function method[J].International Journal of Nonlinear Sciences and Numerical Simulation,2005,6(2):99-106. 被引量:1
  • 4Fan E.An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations[J].Journal of Physics A:Mathematical and General,2003,36(25):7009-7016. 被引量:1
  • 5Liu S,Fu Z,Liu S,et al.Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations[J].Physics Letters A,2001,289(1):69-74. 被引量:1
  • 6Zhou Y,Wang M,Wang Y.Periodic wave solutions to a coupled KdV equations with variable coefficients[J].Physics Letters A,2003,308(1):31-36. 被引量:1
  • 7Ablowitz M J,Segur H.Solitons and the inverse scattering transform[M].Philadelphia:Siam,1981. 被引量:1
  • 8Fan E,Zhang H.A note on the homogeneous balance method[J].Physics Letters A,1998,246(5):403-406. 被引量:1
  • 9李文安,陈浩,张国才.The (ω/g)-expansion method and its application to Vakhnenko equation[J].Chinese Physics B,2009,18(2):400-404. 被引量:9
  • 10Wang M L,Li X,Zhang J.The(G′/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics[J].Physics Letters A,2008,372(4):417-423. 被引量:1

二级参考文献24

  • 1Lan H and Wang K 1990 J. Phys. A: Math. Gen. 23 3923 被引量:1
  • 2Fan E G 2000 Phys. Lett. A 277 212 被引量:1
  • 3Liu S K, Fu Z T, Liu S D and Zhao Q 2001 Phys. Lett. A 289 69 被引量:1
  • 4Fu Z T, Liu S K, Liu S D and Zhao Q 2001 Phys. Lett. A 289 72 被引量:1
  • 5He J H and Wu X H 2006 Chaos, Solitons and Fractals 30 700 被引量:1
  • 6Yang L, Liu J and Yang K 2001 Phys. Lett. A 278 267 被引量:1
  • 7Parkes E J and Duffy B R 1997 Phys. Lett. A 299 217 被引量:1
  • 8Zhou Y B, Wang M L and Wang Y M 2003 Phys. Lett. A 308 31 被引量:1
  • 9Zhang S 2006 Phys. Lett. A 358 414 被引量:1
  • 10Zhang J, Wang M, Wang Y and Fang Z 2006 Phys. Lett. A 350 103 被引量:1

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