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Nguyen, Dinh-Liem; Truong, Trung

Fast numerical solutions to direct and inverse scattering for bi-anisotropic periodic Maxwell’s equations. (English) Zbl 07680916

Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–23, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 81-101 (2023).
MSC:  65R20 35R30 78M22
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\textit{D.-L. Nguyen} and \textit{T. Truong}, Contemp. Math. 784, 81--101 (2023; Zbl 07680916)
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Le, Thu; Nguyen, Dinh-Liem; Nguyen, Vu; Truong, Trung

Sampling type method combined with deep learning for inverse scattering with one incident wave. (English) Zbl 07680915

Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–23, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 63-80 (2023).
MSC:  65-XX 35R30 78A46 65C20
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\textit{T. Le} et al., Contemp. Math. 784, 63--80 (2023; Zbl 07680915)
Full Text: DOI arXiv
Harris, Isaac

Regularization of the factorization method with applications to inverse scattering. (English) Zbl 1518.35249

Nguyen, Dinh-Liem (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–23, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 784, 43-61 (2023).
MSC:  35J05 35Q81 46C07
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\textit{I. Harris}, Contemp. Math. 784, 43--61 (2023; Zbl 1518.35249)
Full Text: DOI arXiv
Kunets, Ya. I.; Matus, V. V.

Asymptotic approach in the dynamic problems of the theory of elasticity for bodies with thin elastic inclusions. (English. Ukrainian original) Zbl 1512.74008

J. Math. Sci., New York 270, No. 1, 87-106 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 1, 75-93 (2020).
MSC:  74B05 74E30 74H10 74E05 74J20 74J25
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\textit{Ya. I. Kunets} and \textit{V. V. Matus}, J. Math. Sci., New York 270, No. 1, 87--106 (2023; Zbl 1512.74008); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 1, 75--93 (2020)
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Gerdjikov, V. S.; Li, Nianhua; Matveev, V. B.; Smirnov, A. O.

On soliton solutions and soliton interactions of Kulish-Sklyanin and Hirota-Ohta systems. (English. Russian original) Zbl 1516.37080

Theor. Math. Phys. 213, No. 1, 1331-1347 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 20-40 (2022).
MSC:  37K10 35Q51 37K15 37K40 35C08
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\textit{V. S. Gerdjikov} et al., Theor. Math. Phys. 213, No. 1, 1331--1347 (2022; Zbl 1516.37080); translation from Teor. Mat. Fiz. 213, No. 1, 20--40 (2022)
Full Text: DOI arXiv
Babajanov, Bazar Atajanovich; Azamatov, Azizbek Shavkatovich

Integration of the Kaup-Boussinesq system with a self-consistent source via inverse scattering method. (English) Zbl 1516.35293

Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 32, No. 2, 153-170 (2022).
Reviewer: Jiři Lipovský (Hradec Králové)
MSC:  35P25 34L25 35Q41 37K10 35R30 34M46
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\textit{B. A. Babajanov} and \textit{A. S. Azamatov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 32, No. 2, 153--170 (2022; Zbl 1516.35293)
Full Text: DOI MNR
Khanmamedov, A. Kh.; Mamedova, A. F.

A remark on the inverse scattering problem for the perturbed Hill equation. (English. Russian original) Zbl 1509.34092

Math. Notes 112, No. 2, 281-285 (2022); translation from Mat. Zametki 112, No. 2, 263-268 (2022).
Reviewer: Jiři Lipovský (Hradec Králové)
MSC:  34L25 34B30 34A05
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\textit{A. Kh. Khanmamedov} and \textit{A. F. Mamedova}, Math. Notes 112, No. 2, 281--285 (2022; Zbl 1509.34092); translation from Mat. Zametki 112, No. 2, 263--268 (2022)
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Khasanov, A. B.; Hoitmetov, U. A.

On complex-valued solutions of the general loaded Korteweg-de Vries equation with a source. (English. Russian original) Zbl 1492.35269

Differ. Equ. 58, No. 3, 381-391 (2022); translation from Differ. Uravn. 58, No. 3, 385-394 (2022).
MSC:  35Q53 37K15 45G10 47B99
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\textit{A. B. Khasanov} and \textit{U. A. Hoitmetov}, Differ. Equ. 58, No. 3, 381--391 (2022; Zbl 1492.35269); translation from Differ. Uravn. 58, No. 3, 385--394 (2022)
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