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PreprintarXiv licencearXiv

Inverse scattering problem for the fifth-order Schrbfödinger operator on the whole axis

  • Vladimir A. Zolotarev
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Abstract

A method of solution for the inverse scattering problem for the linear fifth order Schr̈odinger operator is found. Two closed systems of linear singular integral equations are obtained. From solutions to these equations, potential on the left and right half-axes is restored unambiguously.

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Cite

BibTeXRIS
BibTeX
@misc{zolotarev2026inverse,
  title = {{Inverse scattering problem for the fifth-order Schr$\rm\bf\ddoto$dinger operator on the whole axis}},
  author = {Vladimir A. Zolotarev},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39591},
  eprint = {2610.39591},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39591},
}
RIS
TY  - UNPB
TI  - Inverse scattering problem for the fifth-order Schrbfödinger operator on the whole axis
AU  - Vladimir A. Zolotarev
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39591
UR  - https://arxiv.org/abs/2610.39591
AB  - A method of solution for the inverse scattering problem for the linear fifth order Schr̈odinger operator is found. Two closed systems of linear singular integral equations are obtained. From solutions to these equations, potential on the left and right half-axes is restored unambiguously.
ER  -