Squared eigenfunctions and the perturbation theory for the nondegenerate N x N operator: a general outline
Abbreviated Journal Title
J. Phys. A-Math. Theor.
INVERSE SCATTERING TRANSFORM; RESONANT INTERACTION; NONLINEAR MEDIA; WAVE PACKETS; SOLITONS; EQUATIONS; EVOLUTION; SYSTEMS; Physics, Multidisciplinary; Physics, Mathematical
We provide an overview of the soliton perturbation theory for the N x 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.
Journal of Physics a-Mathematical and Theoretical
"Squared eigenfunctions and the perturbation theory for the nondegenerate N x N operator: a general outline" (2010). Faculty Bibliography 2010s. 342.