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一类微分方程的约化及其约化方程的Painlevé分析

Reduction of a Kind of Differential Equations and Painleve Analysis of the Reduced Equations
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摘要 对一类非线性偏微分方程组进行行波约化和相似约化,使原来的偏微分方程约化为常微分方程,并对此常微分方程进行Painleve分析,进一步给出此类非线性偏微分方程约化后的常微分方程组只有“弱”Painleve性质,还给出微分方程具有“弱”Painleve性质的一个例证。 The nonlinear differential equations are reduced by the travelling wave solution and similarity reductions, then the ordinary differential equations are obtained and the equations are discussed by Painleve analysis. An example of differential equations with ' weak Painleve property is given.
作者 杨志林
出处 《中山大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第2期115-117,共3页 Acta Scientiarum Naturalium Universitatis Sunyatseni
关键词 非线性偏微分方程组 行波约化 相似约化 PAINLEVÉ分析 弱Painlevé性质 常微分方程 Painleve property 'weak' Painleve property reduction resonance
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参考文献6

  • 1[1]ABLOWITZ M J, RAMANI A, SEGUR H. nonlinear evolution equations and ordinary differential equations of Painlevé type[J]. Lett Nuove Cim,1978,23(2) :333 - 338.
  • 2[2]ABOLWITZ M J, RAMANI A, SEGUR H. A connection between nonlinear evolution equations and ordinary differential equations of P-type Ⅰ [J]. J Math Phys,1980,21(2):715-721.
  • 3[3]ABLOWITZ M J, SEGUR H. Solitons and the inverse Scatlering transform [ C ]. SIAM Philadelphia, Society of Industrial and Applied Mathematics, 1981:233 - 250.
  • 4[4]JOHN W. The Sine-Gordon equations: Complete and Partial integrability[J]. J Math Phys, 1984,25(7):2226- 2235.
  • 5[5]RAMANI A, DORIZZI B, GRAMMATIOS B. Painlevé conjecture Revisted[J]. Phys Lett, 1982,49(4): 1539 - 1543.
  • 6[6]DORIZZI B, GRAMMATIOS B, RAMANI A. explicit integrability for Hamiltonian systems and the Painlevé conjecture[J]. J Math Phys, 1984,25(3) :481 - 485.

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