| Athens/Institutional login |
|
| 
| 
|
|
|
|
|||
| Journals Home | Journals List | EJs Extra | This Journal | Search | Authors | Referees | Librarians | User Options | Help | | ||||
|
||||
|
|
| | |
|
||||
2008 Nonlinearity 21 2099-2111 doi: 10.1088/0951-7715/21/9/011
 |
 |
 |
||
|
||||
 |
|
 |
Recommended by A R Its
Abstract. We establish an asymptotic stability result for Toda lattice soliton solutions, by making use of a linearized Bäcklund transformation whose domain has codimension one. Combining a linear stability result with a general theory of nonlinear stability by Friesecke and Pego for solitary waves in lattice equations, we conclude that all solitons in the Toda lattice are asymptotically stable in an exponentially weighted norm. In addition, we determine the complete spectrum of an operator naturally associated with the Floquet theory for these lattice solitons.
Mathematics Subject Classification: 37K60, 35B35, 35Q51, 37K40, 37K45
Print publication: Issue 9 (September 2008) |
Post to CiteUlike | | Post to Connotea | | Post to Bibsonomy |
|
|
|
|
| | |
|
|
|
|
|
|
Journals Home | Journals List | EJs Extra | This Journal | Search | Authors | Referees | Librarians | User Options | Help | Recommend this journal EndNote, ProCite ® and Reference Manager ® are registered trademarks of ISI Researchsoft. Copyright © Institute of Physics and IOP Publishing Limited 2009. Use of this service is subject to compliance with the terms and conditions of use. In particular, reselling and systematic downloading of files is prohibited. Help: Cookies | Data Protection. |
|
| |
