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Trudy Matematicheskogo Instituta imeni V. A. Steklova, 1964, Volume 73, Pages 314–336 (Mi tm1633)  

This article is cited in 41 scientific papers (total in 43 papers)

Properties of the S-matrix of the one-dimensional Schrödinger equation

L. D. Faddeev
Bibliographic databases:
Language: Russian
Citation: L. D. Faddeev, “Properties of the S-matrix of the one-dimensional Schrödinger equation”, Boundary value problems of mathematical physics. Part 2, Collection of articles. Dedicated to the memory of Vladimir Andreevich Steklov in connection with the centennial of his birth, Trudy Mat. Inst. Steklov., 73, Nauka, Moscow–Leningrad, 1964, 314–336; Amer. Math. Soc. Transl. Ser. 2, 65 (1967), 139–166
Citation in format AMSBIB
\Bibitem{Fad64}
\by L.~D.~Faddeev
\paper Properties of the $S$-matrix of the one-dimensional Schr\"odinger equation
\inbook Boundary value problems of mathematical physics. Part~2
\bookinfo Collection of articles. Dedicated to the memory of Vladimir Andreevich Steklov in connection with the centennial of his birth
\serial Trudy Mat. Inst. Steklov.
\yr 1964
\vol 73
\pages 314--336
\publ Nauka
\publaddr Moscow--Leningrad
\mathnet{http://mi.mathnet.ru/tm1633}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=178188}
\zmath{https://zbmath.org/?q=an:0145.46702}
\transl
\jour Amer. Math. Soc. Transl. Ser. 2
\yr 1967
\vol 65
\pages 139--166
Linking options:
  • https://www.mathnet.ru/eng/tm1633
  • https://www.mathnet.ru/eng/tm/v73/p314
  • This publication is cited in the following 43 articles:
    1. A. B. Khasanov, R. Kh. Eshbekov, T. G. Hasanov, “Integration of a non-linear Hirota type equation with additional terms”, Izv. Math., 89:1 (2025), 196–219  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    2. U.A. Khoitmetov, T. G. Khasanov, “Integrirovanie uravneniya Kortevega-de Friza s koeffitsientami, zavisyaschimi ot vremeni v sluchae dvizhuschikhsya sobstvennykh znachenii operatora Shturma–Liuvillya”, Izv. vuzov. Matem., 2024, no. 5, 63–78  mathnet  crossref
    3. A. B. Khasanov, T. G. Khasanov, “Zadacha Koshi dlya nelineinogo kompleksnogo modifitsirovannogo uravneniya Kortevega — de Friza (kmKdF) s dopolnitelnymi chlenami v klasse periodicheskikh beskonechnozonnykh funktsii”, Sib. matem. zhurn., 65:4 (2024), 735–759  mathnet  crossref
    4. U.A. Hoitmetov, T. G. Hasanov, “Integration of the Korteweg-de Vries equation with loaded terms and a self-consistent source in the class of rapidly decreasing functions”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 33:1 (2023), 156–170  mathnet  crossref  mathscinet
    5. A. Kh. Khanmamedov, D. G. Orudzhev, “Inverse scattering problem for the Schrödinger equation with an additional increasing potential on the line”, Theoret. and Math. Phys., 216:1 (2023), 1010–1023  mathnet  crossref  crossref  mathscinet  adsnasa
    6. U. B. Muminov, A. B. Khasanov, “Integration of a defocusing nonlinear Schrödinger equation with additional terms”, Theoret. and Math. Phys., 211:1 (2022), 514–531  mathnet  crossref  crossref  mathscinet  adsnasa
    7. M. Yu. Ignat'ev, “On Scattering Data for Differential Systems with a Singularity”, Math. Notes, 111:6 (2022), 879–893  mathnet  crossref  crossref
    8. A. B. Khasanov, T. G. Khasanov, “Integrirovanie nelineinogo uravneniya Kortevega — de Friza s nagruzhennym chlenom i istochnikom”, Sib. zhurn. industr. matem., 25:2 (2022), 127–142  mathnet  crossref
    9. G. A. Mannonov, A. B. Khasanov, “The Cauchy problem for a nonlinear Hirota equation in the class of periodic infinite-zone functions”, St. Petersburg Math. J., 34:5 (2023), 821–845  mathnet  crossref
    10. U. A. Hoitmetov, “Integration of the loaded general Korteweg-de Vries equation in tne class of rapidly decreasing complex-valued functions”, Eurasian Math. J., 13:2 (2022), 43–54  mathnet  crossref  mathscinet
    11. U. B. Muminov, A. B. Khasanov, “Zadacha Koshi dlya defokusiruyuschego nelineinogo uravneniya Shredingera s nagruzhennym chlenom”, Matem. tr., 25:1 (2022), 102–133  mathnet  crossref
    12. A. B. Khasanov, U. A. Hoitmetov, “Integration of the general loaded Korteweg–de Vries equation with an integral type source in the class of rapidly decreasing complex-valued functions”, Russian Math. (Iz. VUZ), 65:7 (2021), 43–57  mathnet  crossref  crossref
    13. U. A. Khoitmetov, “Integrirovanie nagruzhennogo uravneniya KdF s samosoglasovannym istochnikom integralnogo tipa v klasse bystroubyvayuschikh kompleksnoznachnykh funktsii”, Matem. tr., 24:2 (2021), 181–198  mathnet  crossref
    14. A. B. Khasanov, T. G. Khasanov, “Zadacha Koshi dlya uravneniya Kortevega–de Friza v klasse periodicheskikh beskonechnozonnykh funktsii”, Matematicheskie voprosy teorii rasprostraneniya voln. 51, Zap. nauchn. sem. POMI, 506, POMI, SPb., 2021, 258–278  mathnet
    15. L. A. Takhtajan, “Etudes of the resolvent”, Russian Math. Surveys, 75:1 (2020), 147–186  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    16. A. B. Khasanov, M. M. Matjakubov, “Integration of the nonlinear Korteweg–de Vries equation with an additional term”, Theoret. and Math. Phys., 203:2 (2020), 596–607  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    17. A. B. Hasanov, M. M. Hasanov, “Integration of the nonlinear Schrödinger equation with an additional term in the class of periodic functions”, Theoret. and Math. Phys., 199:1 (2019), 525–532  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    18. I. M. Guseinov, A. Kh. Khanmamedov, A. F. Mamedova, “Inverse scattering problem for the Schrödinger equation with an additional quadratic potential on the entire axis”, Theoret. and Math. Phys., 195:1 (2018), 538–547  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    19. L. A. Takhtajan, A. Yu. Alekseev, I. Ya. Aref'eva, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, S. L. Shatashvili, “Scientific heritage of L. D. Faddeev. Survey of papers”, Russian Math. Surveys, 72:6 (2017), 977–1081  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    20. I. Egorova, Z. Gladka, T. L. Lange, G. Teschl, “Inverse Scattering Theory for Schrödinger Operators with Steplike Potentials”, Zhurn. matem. fiz., anal., geom., 11:2 (2015), 123–158  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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