A Remark on the Inverse Scattering Problem for the Perturbed Hill Equation
Author:
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1134/S0001434622070306.pdf
Reference7 articles.
1. G. W. Hill, “On the part of the motion of the lunar perigee which is a function of the mean motions of the sun and moon,” Acta Math. 8, 1–36 (1886).
2. N. E. Firsova, “An inverse scattering problem for a perturbed Hill’s operator,” Math. Notes 18 (6), 1085–1091 (1975).
3. N. E. Firsova, “The direct and inverse scattering problems for the one-dimensional perturbed Hill operator,” Sb. Math. 58 (2), 351–388 (1987).
4. A. Boutet de Monvel, I. Egorova, and G. Teschle, “Inverse scattering theory for one-dimensional Schrödinger operators with step like finite-gap potentials,” J. Anal. Math. 106 (1), 271–316 (2008).
5. N. E. Firsova, “On solution of the Cauchy problem for the Korteweg–de Vries equation with initial data the sum of a periodic and a rapidly decreasing function,” Sb. Math. 63 (1), 257–265 (1989).
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