Compactification of Nonlinear Patterns and Waves
Journal Article
·
· Physical Review Letters
- School of Mathematical Sciences Tel Aviv University, Tel Aviv 69978 (Israel)
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{sub tt}+[{phi}{sup '}(u{sub x})]{sub x}=P{sup '}(u) equation, where {phi}{sup '}({sigma})={sigma}+{beta}{sigma}{sup 3} and endowed with a subquadratic site potential P(u){approx}|1-u{sup 2}|{sup {alpha}}{sup +1}, 0{<=}{alpha}<1, and the Schroedinger iZ{sub t}+{nabla}{sup 2}Z=G(|Z|)Z equation in a plane with G(A)={gamma}A{sup -{delta}}-{sigma}A{sup 2}, 0<{delta}{<=}1.
- OSTI ID:
- 21180081
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 26 Vol. 101; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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