Composition Relation between Gap Solitons and Bloch Waves in Nonlinear Periodic Systems
Journal Article
·
· Physical Review Letters
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China)
We show with numerical computation and analysis that Bloch waves, at either the center or edge of the Brillouin zone, of a one dimensional nonlinear periodic system can be regarded as infinite chains composed of fundamental gap solitons (FGSs). This composition relation between Bloch waves and FGSs leads us to predict that there are n families of FGSs in the nth band gap of the corresponding linear periodic system, which is confirmed numerically. Furthermore, this composition relation can be extended to construct a class of solutions similar to Bloch waves but with multiple periods.
- OSTI ID:
- 21180263
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 9 Vol. 102; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
Similar Records
Gap solitons and Bloch waves in nonlinear periodic systems
Matter-wave solitons and finite-amplitude Bloch waves in optical lattices with spatially modulated nonlinearity
Truncated-Bloch-wave solitons in nonlinear fractional periodic systems
Journal Article
·
Mon Dec 14 23:00:00 EST 2009
· Physical Review. A
·
OSTI ID:21352434
Matter-wave solitons and finite-amplitude Bloch waves in optical lattices with spatially modulated nonlinearity
Journal Article
·
Wed Sep 15 00:00:00 EDT 2010
· Physical Review. A
·
OSTI ID:21450615
Truncated-Bloch-wave solitons in nonlinear fractional periodic systems
Journal Article
·
Wed May 15 00:00:00 EDT 2019
· Annals of Physics
·
OSTI ID:22848497