Journal
PHYSICAL REVIEW LETTERS
Volume 101, Issue 26, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.101.264101
Keywords
-
Categories
Funding
- I. S. F [801/07]
- US NSF [DMS-07-0785]
Ask authors/readers for more resources
We present a nonlinear mechanism(s) which may be an alternative to a missing wave speed: it induces patterns with a compact support and sharp fronts which propagate with a finite speed. Though such mechanism may emerge in a variety of physical contexts, its mathematical characterization is universal, very simple, and given via a sublinear substrate (site) force. Its utility is shown studying a Klein-Gordon -u(tt) + [Phi'(u(x))](x) = P'(u) equation, where Phi'(sigma) = sigma + beta sigma(3) and endowed with a subquadratic site potential P(u) similar to vertical bar 1 - u(2)vertical bar(alpha+1), 0 <= alpha < 1, and the Schrodinger iZ(t) + del(2)Z = G(vertical bar Z vertical bar)Z equation in a plane with G(A) = gamma A(-delta) - sigma A(2), 0 < delta <= 1.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available