Phys. Rev. E 64, 067601 (2001) [4 pages]Solitons on a zigzag-runged ladder latticeReceived 21 February 2001; published 8 November 2001 The nonlinear dynamical model on a two-leg ladder lattice with the rungs arranged into a zigzag chain is proposed. The lattice contains two structure elements (molecules) in the unit cell. As a result, the system exhibits the two-branch spectrum in its low-amplitude limit. The similar two branches are shown to be observed in high-amplitude soliton solutions too. The integrability of the model is proved and the one-soliton solutions are explicitly presented and analyzed. The model Hamiltonian, as well as the basic conserved quantities are found. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.067601
DOI:
10.1103/PhysRevE.64.067601
PACS:
41.20.Jb, 71.38.-k, 11.10.Lm
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.