Breathers in the weakly coupled topological discrete sine-Gordon system
Publication
, Journal Article
Haskins, M; Speight, JM
Published in: Nonlinearity
November 1, 1998
Existence of breather (spatially localized, time periodic, oscillatory) solutions of the topological discrete sine-Gordon (TDSG) system, in the regime of weak coupling, is proved. The novelty of this result is that, unlike the systems previously considered in studies of discrete breathers, the TDSG system does not decouple into independent oscillator units in the weak coupling limit. The results of a systematic numerical study of these breathers are presented, including breather initial profiles and a portrait of their domain of existence in the frequency-coupling parameter space. It is found that the breathers are uniformly qualitatively different from those found in conventional spatially discrete systems.
Duke Scholars
Published In
Nonlinearity
DOI
ISSN
0951-7715
Publication Date
November 1, 1998
Volume
11
Issue
6
Start / End Page
1651 / 1671
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Haskins, M., & Speight, J. M. (1998). Breathers in the weakly coupled topological discrete sine-Gordon system. Nonlinearity, 11(6), 1651–1671. https://doi.org/10.1088/0951-7715/11/6/013
Haskins, M., and J. M. Speight. “Breathers in the weakly coupled topological discrete sine-Gordon system.” Nonlinearity 11, no. 6 (November 1, 1998): 1651–71. https://doi.org/10.1088/0951-7715/11/6/013.
Haskins M, Speight JM. Breathers in the weakly coupled topological discrete sine-Gordon system. Nonlinearity. 1998 Nov 1;11(6):1651–71.
Haskins, M., and J. M. Speight. “Breathers in the weakly coupled topological discrete sine-Gordon system.” Nonlinearity, vol. 11, no. 6, Nov. 1998, pp. 1651–71. Scopus, doi:10.1088/0951-7715/11/6/013.
Haskins M, Speight JM. Breathers in the weakly coupled topological discrete sine-Gordon system. Nonlinearity. 1998 Nov 1;11(6):1651–1671.
Published In
Nonlinearity
DOI
ISSN
0951-7715
Publication Date
November 1, 1998
Volume
11
Issue
6
Start / End Page
1651 / 1671
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics