Title
The inverse scattering transform and squared eigenfunctions for a degenerate 3 x 3 operator
Abbreviated Journal Title
Inverse Probl.
Keywords
SOLITON; WAVES; Mathematics, Applied; Physics, Mathematical
Abstract
We present the covering set of the squared eigenfunctions for a degenerate 3 x 3 eigenvalue problem. The derivation follows the approach recently outlined by Yang and Kaup on this same equation (J. Math. Phys. 50 023504 (2009)). This eigenvalue problem is important since it serves as the spectral problem for the inverse scattering transform (IST) of the vector NLS equation, the Sasa-Satsuma equation, and a degenerate two-level Maxwell -Bloch system. The use of this covering set would allow one to treat the linear perturbations of these equations in a common and systematic manner. Comparison with previous results on the perturbed continuous spectrum of the Sasa -Satsuma equation is made.
Journal Title
Inverse Problems
Volume
25
Issue/Number
10
Publication Date
1-1-2009
Document Type
Article
Language
English
First Page
21
WOS Identifier
ISSN
0266-5611
Recommended Citation
"The inverse scattering transform and squared eigenfunctions for a degenerate 3 x 3 operator" (2009). Faculty Bibliography 2000s. 1708.
https://stars.library.ucf.edu/facultybib2000/1708