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March/April 2013 Orbital stability of localized structures via Bäcklund transfomations
A. Hoffman, C.E. Wayne
Differential Integral Equations 26(3/4): 303-320 (March/April 2013). DOI: 10.57262/die/1360092826


The Bäcklund transform, first developed in the context of differential geometry, has been classically used to obtain multi-soliton states in completely integrable infinite-dimensional dynamical systems. It has recently been used to study the stability of these special solutions. We offer here a dynamical perspective on the Bäcklund Transform, prove an abstract orbital stability theorem, and demonstrate its utility by applying it to the sine-Gordon equation and the Toda lattice.


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A. Hoffman. C.E. Wayne. "Orbital stability of localized structures via Bäcklund transfomations." Differential Integral Equations 26 (3/4) 303 - 320, March/April 2013.


Published: March/April 2013
First available in Project Euclid: 5 February 2013

zbMATH: 1289.35225
MathSciNet: MR3059166
Digital Object Identifier: 10.57262/die/1360092826

Primary: 35Q51 , 37K35 , 7K45

Rights: Copyright © 2013 Khayyam Publishing, Inc.

Vol.26 • No. 3/4 • March/April 2013
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