Nonexistence of small-amplitude breather solutions in phi/sup 4/ theory
Journal Article
·
· Phys. Rev. Lett.; (United States)
For the (1+1)-dimensional Klein-Gordon equation called the phi/sup 4/ model, there is a known asymptotic series formally representing a ''breather'' (a real-valued solution that is localized in space and periodic in time) in the limit of small amplitude and frequency just below that of spatially uniform infinitesimal oscillations. We show that even though this expansion is valid to all orders, phi/sup 4/ theory admits no true breathers in this limit. Instead, what appear in many physical contexts are approximate breathers that slowly radiate their energy to x- +- infinity. We calculate this radiation rate, which lies beyond all orders in the asymptotic expansion.
- Research Organization:
- Aeronautical Research Associates of Princeton, Princeton, New Jersey 08543-2229
- OSTI ID:
- 6837533
- Journal Information:
- Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 58:8; ISSN PRLTA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Interaction between sine-Gordon breathers
Discrete breathers in dissipative lattices
Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices
Journal Article
·
Wed Aug 01 00:00:00 EDT 2001
· Physical Review E
·
OSTI ID:40277020
Discrete breathers in dissipative lattices
Journal Article
·
Fri Jun 01 00:00:00 EDT 2001
· Physical Review E
·
OSTI ID:40203277
Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices
Journal Article
·
Mon Aug 01 00:00:00 EDT 2016
· Studies in Applied Mathematics
·
OSTI ID:1246360