A shooting argument approach to a sharp-type solution for nonlinear degenerate Fisher-KPP equations

Journal article

In this paper we prove the existence and uniqueness of a travelling-wave solution of sharp type for the degenerate (at u = 0) parabolic equation ul = [D(u)ux]x + g (u) where D is a strictly increasing function and g is a function which generalizes the kinetic part of the classical Fisher-KPP equation. The original problem is transformed into the proper travelling-wave variables, and then a shooting argument is used to show the existence of a saddle-saddle heteroclinic trajectory for a critica...

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Authors: SanchezGarduno, F; Maini, P; Kappos, M

• Publication status: Published
• Journal: IMA JOURNAL OF APPLIED MATHEMATICS
• Volume: 57
• Issue: 3
• Pages: 211-221
• Publication date: 1996-12-01
• DOI: 10.1093/imamat/57.3.211
• EISSN: 1464-3634
• ISSN: 0272-4960
• Language: English