☆ 4.7 Article

Painlev, analysis, Lie symmetries, and exact solutions for the time-dependent coefficients Gardner equations

NONLINEAR DYNAMICS (2010)

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Journal

NONLINEAR DYNAMICS
Volume 59, Issue 3, Pages 497-502

Publisher

SPRINGER
DOI: 10.1007/s11071-009-9556-2

Keywords

Variable-coefficient Gardner equation; Painleve analysis; Lie symmetry analysis; Exact solution

Categories

Engineering, Mechanical Mechanics

Funding

  1. Natural Science Foundation of China [10671179, 10771196]
  2. Natural Science Foundation of Binzhou University [Bzxykj0806]

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In this paper, the three variable-coefficient Gardner (vc-Gardner) equations are considered. By using the Painlev, analysis and Lie group analysis method, the Painlev, properties and symmetries for the equations are obtained. Then the exact solutions generated from the symmetries and Painlev, analysis are presented.

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