Composition Relation between Gap Solitons and Bloch Waves in Nonlinear Periodic Systems

Yongping Zhang (张永平) and Biao Wu (吴飙)
Phys. Rev. Lett. 102, 093905 – Published 5 March 2009

Abstract

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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 27 July 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.093905

©2009 American Physical Society

Authors & Affiliations

Yongping Zhang (张永平) and Biao Wu (吴飙)

  • Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 102, Iss. 9 — 6 March 2009

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×