@article{oai:toyama.repo.nii.ac.jp:00004323,
 author = {川田, 勉 and 坂井, 純一},
 journal = {富山大学工学部紀要},
 month = {Mar},
 note = {Linear problems associated with the derivative nonlinear Schrodinger (DNLS) equation are studied from the point of view of inverse scattering techniques. By means of the generalized inverse method we find the solution of a linear homogeneous equation corresponding to the first variational system of the DNLS equation. This solution is represented by the squared eigenfunctions of the Kaup-Newell eigenvalue problem. A Green function is defined for that linear equation and we obtain the solution of a nonhomogeneous linear equation which naturally arises in the perturbation calculations of the DNLS equation. Giving explicit formulae of Jost functions and potentials, we analyse a perturbation with such a background as pure onesoliton state. This perturbation has "stational" and "transitional" parts excited by the forced term and initial value, respectively. These both parts are classified into two components, "continuous" and "discrete" components. At the limit of large time, generally speaking, the continuous component results in a decaying oscillation, while the discrete one yields secular terms. The sufficient condition which suppressess the secuiar term is given by a simple formula., Article, 富山大学工学部紀要，35},
 pages = {84--100},
 title = {Linear Problems and Green Function of the Derivative Nonlinear Schrodinger Equation},
 volume = {35},
 year = {1984}
}