Explicit Solutions of Nonlinear Equations with Density Dependent Diffusion

  • Satsuma Junkichi
    Department of Applied Physics, Faculty of Engineering, University of Tokyo

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  • Explicit Solutions of Nonlinear Equatio

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Explicit solutions are obtained for several nonlinear equations with density dependent diffusion by employing the Painlevé analysis. Included are equilibrium solutions, travelling wave solutions and other time-dependent solutions. Properties of these solutions are also briefly discussed.

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