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Painlevé Analysis and Some Solutions of（2＋1）—Dimensional Generalized Burgers Equations 被引量：4

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摘要 Burgers equation ut = 2uux + uxx describes a lot of phenomena in physics fields, and it has attracted much attention.In this paper,the Burgers equation is generalized to (2+1) dimensions.By means of the Painlev(e') analysis,the most generalized Painlev(e') integrable(2+1)-dimensional integrable Burgers systems are obtained.Some exact solutions of the generalized Burgers system are obtained via variable separation approach.
作者 HONGKe－Zhu WUB－in CHENXian－Feng
机构地区 DepartmentofPhysics
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2003年第4期393-394,共2页 理论物理通讯（英文版）
关键词 广义伯格方程 潘勒韦分析 可积方程 物理数学方程
分类号 O411.1 [理学—理论物理] O175.5 [理学—基础数学]
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同被引文献22

  • 1曹建清,马文新,张旭璟.一种智能门禁系统的设计[J].微计算机信息,2007,23(29):23-24. 被引量：3
  • 2Zhigui Lin,Michael Pedersen.Stability in a diffusive food-chain model with Michaelis-Menten functional response[J].Nonlinear Analysis,2004,57:421-433.
  • 3Zhang R,Guo L,Fu S M.Global behavior for a dcturiffusive predator-prey model with stage structure and nonlinear density restriction-Ⅰ:The case in Rn[J].Boundary Value Problems,2009,378363:26.
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  • 5Henry D.Geometric theory of semilinear parabolic equations,in:Lecture Notes in mathematics[C].Berlin:Springer,1993.
  • 6Ablowitz M J,Segur H.Solitons and the Inverse Scattering Transform[M].Philadelphia:SIAM,1981.
  • 7Rogers C,Shadwick W F.Bicklund Transformations[M].New York:Academic Press,1982.
  • 8Matveev V B,Salle M A.Darboux Transformations and Solitons[M].Berlin:Springer-Verlag,1991.
  • 9Hirota R.The Direct Method in Soliton Theory[M].Cambridge:Cambridge Univ Press,2004.
  • 10Wang M L,Li X Z,Zhang J L.The (G'/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics[J].Physics Letters A,2008(372):417-423.

引证文献4

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Communications in Theoretical Physics
2003年 第4期

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