SánchezGarduño, F. and Kappos, E. and Maini, P. K. (1996) A shooting argument approach to a sharp type solution for nonlinear degenerate FisherKPP equations. IMA Journal of Applied Mathematics, 57 (3). pp. 211221.

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Abstract
In this paper we prove the existence and uniqueness of a travellingwave solution of sharp type for the degenerate (at u = 0) parabolic equation where D is a strictly increasing function and g is a function which generalizes the kinetic part of the classical FisherKPP equation. The original problem is transformed into the proper travellingwave variables, and then a shooting argument is used to show the existence of a saddlesaddle heteroclinic trajectory for a critical value, c*>0, of the speed c of an autonomous system of ordinary differential equations. Associated with this connection is a sharptype solution of the nonlinear partial differential equation.
Item Type:  Article 

Uncontrolled Keywords:  n/a 
Subjects:  A  C > Biology and other natural sciences 
Research Groups:  Centre for Mathematical Biology 
ID Code:  462 
Deposited By:  Philip Maini 
Deposited On:  06 Dec 2006 
Last Modified:  29 May 2015 18:22 
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