Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4612773 | Journal of Differential Equations | 2006 | 30 Pages |
Abstract
Consider the following FitzHugh–Nagumo type equationut=uxx+f(u,w),wt=ϵg(u,w), where f(u,w)=u(u−a(w))(1−u)f(u,w)=u(u−a(w))(1−u) for some smooth function a(w)a(w) and g(u,w)=u−wg(u,w)=u−w. By allowing a(w)a(w) to cross zero and one, the corresponding traveling wave equation possesses special turning points which result in very rich dynamics. In this work, we examine the existence of fronts, backs and pulses solutions; in particular, the co-existence of different fronts will be discussed.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Weishi Liu, Erik Van Vleck,