Australian Journal of Physics Australian Journal of Physics Society
A journal for the publication of original research in all branches of physics

Painleve Test and Discrete Boltzmann Equations

N Euler and W-H Steeb

Australian Journal of Physics 42(1) 1 - 10
Published: 1989


The Painleve test for various discrete Boltzmann equations is performed. The connection with integrability is discussed. Furthermore the Lie symmetry vector fields are derived and group-theoretical reduction of the discrete Boltzmann equations to ordinary differentiable equations is performed. Lie Backlund transformations are gained by performing the Painleve analysis for the ordinary differential equations

© CSIRO 1989

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