Title
Squared Eigenfunctions And The Perturbation Theory For The Nondegenerate N × N Operator: A General Outline
Abstract
We provide an overview of the soliton perturbation theory for the N × N eigenvalue operator. Key to perturbation studies of integrable systems are the squared eigenfunctions and their adjoints, which serve as mappings between variations in the potentials and variations in the scattering data. We also address the problem of the normalization of the Jost functions, how this affects the structure and solvability of the inverse scattering equations and the definition of the scattering data. We also discuss the inner products and closure relations for these squared eigenfunctions and their adjoints. © 2010 IOP Publishing Ltd.
Publication Date
10-29-2010
Publication Title
Journal of Physics A: Mathematical and Theoretical
Volume
43
Issue
43
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1088/1751-8113/43/43/434019
Copyright Status
Unknown
Socpus ID
78649650993 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/78649650993
STARS Citation
Kaup, D. J. and Van Gorder, Robert A., "Squared Eigenfunctions And The Perturbation Theory For The Nondegenerate N × N Operator: A General Outline" (2010). Scopus Export 2010-2014. 12.
https://stars.library.ucf.edu/scopus2010/12