Solutions of Discrete-Velocity Boltzmann Equations via Bateman and Riccati Equations |
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| Authors: | O Lindblom N Euler |
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| Institution: | (1) Department of Mathematics, Luleå University of Technology, Luleå, Sweden |
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| Abstract: | We propose several approaches for solving two discrete-velocity Boltzmann equations using the rescaling ansatz and the truncated Painlevé expansions. We use solutions of the two- and three-dimensional Bateman equations for the singularity manifold conditions to reduce the problem to Riccati equations. Both equations fail the Painlevé test. |
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| Keywords: | nonlinear systems of multidimensional PDEs singularity Painlevé analysis linearization exact solutions |
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