<p>A class of moving boundary problems of Stefan-type is shown to be amenable to exact solution via Painlevé II similarity reduction both for the canonical solitonic Gardner equation and a reciprocally associated novel third order nonlinear evolution equation incorporating a source term.</p>

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On moving boundary problems for the solitonic gardner equation. a reciprocally associated class

  • Colin Rogers

摘要

A class of moving boundary problems of Stefan-type is shown to be amenable to exact solution via Painlevé II similarity reduction both for the canonical solitonic Gardner equation and a reciprocally associated novel third order nonlinear evolution equation incorporating a source term.