Exact Treatment of Nonlinear Diffusion Equations with Singular Integral Terms

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  • Exact Treatment of Nonlinear Diffusion Equation with Singular Integral Terms
  • Exact Treatment of Nonlinear Diffusion

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Abstract

It is shown that a class of nonlinear diffusion equations with singular integral terms are exactly linearized. The detailed account of the method of linearization is given in relation to the examples which appear in various fields of natural science. Moreover, the properties of several explicit solutions obtained through the linearization are investigated.

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