On an Exactly Solvable Nonlinear Diffusion Equation

  • Junkichi Satsuma
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 30)


A nonlinear integro-differential equation describing a diffusion process with non-local mutual interaction is considered. It can be exactly linearized by a dependent variable transformation. A perturbational approach is employed to understand the structure of solutions of the equation. First, a series of differential equations approximating the integro-differential equation is derived. Then the effect of higher order corrections on the equilibrium solution is investigated.


Exact Solution Equilibrium Solution High Order Correction Variable Transformation Perturbational Approach 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Junkichi Satsuma
    • 1
  1. 1.General EducationMiyazaki Medical CollegeKiyotake, MiyazakiJapan

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