Pattern Formation and Solitons
[Submitted on 21 Mar 1994]
Title:New exact fronts for the nonlinear diffusion equation with quintic nonlinearities
View PDFAbstract: We consider travelling wave solutions of the reaction diffusion equation with quintic nonlinearities $u_t = u_{xx} + \mu u (1 -u )
( 1 +\alpha u + \beta u^2 +\gamma u^3)$. If the parameters $\alpha , \beta$ and $\gamma$ obey a special relation, then the criterion for the existence of a strong heteroclinic connection can be expressed in terms of two of these parameters. If an additional restriction is imposed, explicit front solutions can be obtained. The approach used can be extended to polynomials whose highest degree is odd.
Submission history
From: Maria Cristina Depassier [view email][v1] Mon, 21 Mar 1994 17:57:00 UTC (7 KB)
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