Lv, Cong; Shen, Shoufeng; Liu, Q. P. Inverse scattering transform for the coupled modified complex short pulse equation: Riemann-Hilbert approach and soliton solutions. (English) Zbl 07808478 Physica D 458, Article ID 133986, 19 p. (2024). MSC: 35Q60 35Q15 78A60 78A46 35C08 37K15 37K10 PDFBibTeX XMLCite \textit{C. Lv} et al., Physica D 458, Article ID 133986, 19 p. (2024; Zbl 07808478) Full Text: DOI
Geng, Xianguo; Liu, Wenhao; Li, Ruomeng Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data. (English) Zbl 07801712 J. Differ. Equations 386, 113-163 (2024). MSC: 35Q15 35Q55 35Q41 35Q60 78A60 37K15 37K35 35C08 35B40 35P25 41A60 PDFBibTeX XMLCite \textit{X. Geng} et al., J. Differ. Equations 386, 113--163 (2024; Zbl 07801712) Full Text: DOI
Filipkovska, Maria Initial-boundary value problem for the Maxwell-Bloch equations with an arbitrary inhomogeneous broadening and periodic boundary function. (English) Zbl 07787445 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 096, 39 p. (2023). MSC: 35Q60 35Q15 35Q55 78A60 37K10 37K15 45E05 PDFBibTeX XMLCite \textit{M. Filipkovska}, SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 096, 39 p. (2023; Zbl 07787445) Full Text: DOI arXiv
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie On the asymptotic stability of \(N\)-soliton solution for the short pulse equation with weighted Sobolev initial data. (English) Zbl 1527.35194 J. Differ. Equations 377, 121-187 (2023). MSC: 35Q15 35Q51 35Q55 35Q41 35Q35 35C20 35C08 35B40 35B35 35A01 35A02 37K10 41A60 78A60 PDFBibTeX XMLCite \textit{Z.-Q. Li} et al., J. Differ. Equations 377, 121--187 (2023; Zbl 1527.35194) Full Text: DOI
Kotlyarov, Volodymyr; Minakov, Oleksandr Maxwell-Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier. (English) Zbl 07735415 Nonlinearity 36, No. 9, 5007-5074 (2023). MSC: 35Q60 35Q15 35Q51 78A60 35C08 35B40 35M13 30E20 37K10 37K40 45E05 PDFBibTeX XMLCite \textit{V. Kotlyarov} and \textit{O. Minakov}, Nonlinearity 36, No. 9, 5007--5074 (2023; Zbl 07735415) Full Text: DOI arXiv
Ma, Xinxin; Zhu, Junyi Riemann-Hilbert problem and \(N\)-soliton solutions for the \(n\)-component derivative nonlinear Schrödinger equations. (English) Zbl 1512.35425 Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107147, 12 p. (2023). MSC: 35Q15 35Q55 35P25 35B40 78A60 82B10 PDFBibTeX XMLCite \textit{X. Ma} and \textit{J. Zhu}, Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107147, 12 p. (2023; Zbl 1512.35425) Full Text: DOI
An, Ling; Chen, Yiren; Ling, Liming Inverse scattering transforms for the nonlocal Hirota-Maxwell-Bloch system. (English) Zbl 1519.35217 J. Phys. A, Math. Theor. 56, No. 11, Article ID 115201, 36 p. (2023). Reviewer: Mohamed Majdoub (Dammam) MSC: 35Q15 35Q61 78A60 35C08 35B40 37K15 PDFBibTeX XMLCite \textit{L. An} et al., J. Phys. A, Math. Theor. 56, No. 11, Article ID 115201, 36 p. (2023; Zbl 1519.35217) Full Text: DOI
Li, Yuan; Tian, Shou-Fu; Yang, Jin-Jie Riemann-Hilbert problem and interactions of solitons in the \(n\)-component nonlinear Schrödinger equations. (English) Zbl 07776414 Stud. Appl. Math. 148, No. 2, 577-605 (2022). MSC: 35Q15 35Q55 35Q41 35C08 37K15 37K35 78A60 PDFBibTeX XMLCite \textit{Y. Li} et al., Stud. Appl. Math. 148, No. 2, 577--605 (2022; Zbl 07776414) Full Text: DOI
Zhai, Yunyun; Wei, Lifei; Geng, Xianguo; Wei, Jiao Multi-bright-dark soliton solutions to the \(AB\) system in nonlinear optics. (English) Zbl 1514.35387 Commun. Theor. Phys. 74, No. 4, Article ID 045003, 8 p. (2022). MSC: 35Q51 35Q15 35C08 78A60 PDFBibTeX XMLCite \textit{Y. Zhai} et al., Commun. Theor. Phys. 74, No. 4, Article ID 045003, 8 p. (2022; Zbl 1514.35387) Full Text: DOI
Zhang, Yongshuai; Wang, Nan; Qiu, Deqin; He, Jingsong Explicit solitons of Kundu equation derived by Riemann-Hilbert problem. (English) Zbl 1515.81131 Phys. Lett., A 452, Article ID 128476, 9 p. (2022). MSC: 81Q80 35C08 35Q15 35Q55 78A60 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Phys. Lett., A 452, Article ID 128476, 9 p. (2022; Zbl 1515.81131) Full Text: DOI
Yang, Yiling; Fan, Engui Riemann-Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions. (English) Zbl 1507.35132 Physica D 417, Article ID 132811, 20 p. (2021). MSC: 35Q15 35Q55 35Q41 78A60 35B40 35C08 35P25 35A01 35A02 37K15 37K40 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{E. Fan}, Physica D 417, Article ID 132811, 20 p. (2021; Zbl 1507.35132) Full Text: DOI arXiv
Zhou, Xuan; Fan, Engui Riemann-Hilbert problems and soliton solutions for the complex modified short pulse equation. (English) Zbl 07458544 Rep. Math. Phys. 88, No. 2, 145-159 (2021). MSC: 35C08 78A60 35Q15 PDFBibTeX XMLCite \textit{X. Zhou} and \textit{E. Fan}, Rep. Math. Phys. 88, No. 2, 145--159 (2021; Zbl 07458544) Full Text: DOI
Wang, Xiu-Bin; Han, Bo The nonlinear steepest descent approach for long time behavior of the two-component coupled Sasa-Satsuma equation with a \(5 \times 5\) Lax pair. (English) Zbl 1479.35729 Taiwanese J. Math. 25, No. 2, 381-407 (2021). MSC: 35Q51 35Q53 35Q15 35Q55 35C08 35A22 37K35 35B40 78A60 68W30 74J35 45D05 45C05 PDFBibTeX XMLCite \textit{X.-B. Wang} and \textit{B. Han}, Taiwanese J. Math. 25, No. 2, 381--407 (2021; Zbl 1479.35729) Full Text: DOI arXiv
Wu, Jianping Spectral and soliton structures of the Sasa-Satsuma higher-order nonlinear Schrödinger equation. (English) Zbl 1471.35263 Anal. Math. Phys. 11, No. 2, Paper No. 97, 12 p. (2021). MSC: 35Q55 35Q15 35C08 35C09 37K15 78A60 68W30 PDFBibTeX XMLCite \textit{J. Wu}, Anal. Math. Phys. 11, No. 2, Paper No. 97, 12 p. (2021; Zbl 1471.35263) Full Text: DOI
Yang, Yiling; Fan, Engui Soliton resolution for the short-pulse equation. (English) Zbl 1459.35328 J. Differ. Equations 280, 644-689 (2021). MSC: 35Q51 35Q15 37K15 35C20 78A60 35L20 35B40 35B35 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{E. Fan}, J. Differ. Equations 280, 644--689 (2021; Zbl 1459.35328) Full Text: DOI arXiv
Filipkovska, M. S.; Kotlyarov, V. P. Propagation of electric field generated by periodic pumping in a stable medium of two-level atoms of the Maxwell-Bloch model. (English) Zbl 1460.78021 J. Math. Phys. 61, No. 12, 123502, 31 p. (2020). Reviewer: Eric Stachura (Marietta) MSC: 78A60 78A40 78M35 37K15 35Q15 35Q60 PDFBibTeX XMLCite \textit{M. S. Filipkovska} and \textit{V. P. Kotlyarov}, J. Math. Phys. 61, No. 12, 123502, 31 p. (2020; Zbl 1460.78021) Full Text: DOI
Hu, Beibei; Xia, Tiecheng; Zhang, Ning The unified transform method to initial-boundary value problem for a coupled cubic-quintic nonlinear Schrödinger system. (English) Zbl 1428.35517 Complex Anal. Oper. Theory 13, No. 3, 1143-1159 (2019). MSC: 35Q55 37K10 35Q51 35Q15 78A60 PDFBibTeX XMLCite \textit{B. Hu} et al., Complex Anal. Oper. Theory 13, No. 3, 1143--1159 (2019; Zbl 1428.35517) Full Text: DOI
Guo, Boling; Liu, Nan A Riemann-Hilbert approach for the modified short pulse equation. (English) Zbl 1417.35081 Appl. Anal. 98, No. 9, 1646-1659 (2019). MSC: 35Q15 35G25 35B40 35C08 78A60 PDFBibTeX XMLCite \textit{B. Guo} and \textit{N. Liu}, Appl. Anal. 98, No. 9, 1646--1659 (2019; Zbl 1417.35081) Full Text: DOI
Xu, Jian On zeros of the scattering data of the initial value problem for the short pulse equation. (English) Zbl 1417.35082 Appl. Math. Lett. 94, 8-12 (2019). MSC: 35Q15 37K15 35B40 78A60 81V80 PDFBibTeX XMLCite \textit{J. Xu}, Appl. Math. Lett. 94, 8--12 (2019; Zbl 1417.35082) Full Text: DOI
Hu, Beibei; Xia, Tiecheng A Fokas approach to the coupled modified nonlinear Schrödinger equation on the half-line. (English) Zbl 1397.35274 Math. Methods Appl. Sci. 41, No. 13, 5112-5123 (2018). MSC: 35Q55 35Q51 35Q15 37K10 37K15 78A60 45D05 45C05 35P15 PDFBibTeX XMLCite \textit{B. Hu} and \textit{T. Xia}, Math. Methods Appl. Sci. 41, No. 13, 5112--5123 (2018; Zbl 1397.35274) Full Text: DOI
Kyrion, Tobias Reconstruction of refractive indices from spectral measurements of monodisperse aerosols. (English) Zbl 1392.78011 Inverse Probl. Sci. Eng. 26, No. 3, 323-361 (2018). MSC: 78A46 78A45 45Q05 65R32 65F22 34M50 PDFBibTeX XMLCite \textit{T. Kyrion}, Inverse Probl. Sci. Eng. 26, No. 3, 323--361 (2018; Zbl 1392.78011) Full Text: DOI arXiv
Zhu, Qiao-Zhen; Fan, En-Gui; Xu, Jian Initial-boundary value problem for two-component Gerdjikov-Ivanov equation with \(3\times 3\) Lax pair on half-line. (English) Zbl 1377.35235 Commun. Theor. Phys. 68, No. 4, 425-438 (2017). MSC: 35Q55 35Q53 78A46 PDFBibTeX XMLCite \textit{Q.-Z. Zhu} et al., Commun. Theor. Phys. 68, No. 4, 425--438 (2017; Zbl 1377.35235) Full Text: DOI
Palamodov, V. An analytic method for the inverse problem of MREPT. (English) Zbl 1347.78007 Inverse Probl. 32, No. 3, Article ID 035003, 7 p. (2016). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 35Q60 92C55 35Q15 PDFBibTeX XMLCite \textit{V. Palamodov}, Inverse Probl. 32, No. 3, Article ID 035003, 7 p. (2016; Zbl 1347.78007) Full Text: DOI Link
Babich, V. M. Solution of the diffraction problem of a plane wave by an impedance wedge (non-stationary case. Smirnov-Sobolev method). (English) Zbl 1321.35123 Russ. J. Math. Phys. 22, No. 2, 145-152 (2015). MSC: 35Q15 78A46 PDFBibTeX XMLCite \textit{V. M. Babich}, Russ. J. Math. Phys. 22, No. 2, 145--152 (2015; Zbl 1321.35123) Full Text: DOI
Kotlyarov, V. P.; Moskovchenko, E. A. Matrix Riemann-Hilbert problems and Maxwell-Bloch equations without spectral broadening. (English) Zbl 1301.37052 J. Math. Phys. Anal. Geom. 10, No. 3, 328-349 (2014). Reviewer: Vladimir Mityushev (Kraków) MSC: 37K15 35Q15 78A46 PDFBibTeX XMLCite \textit{V. P. Kotlyarov} and \textit{E. A. Moskovchenko}, J. Math. Phys. Anal. Geom. 10, No. 3, 328--349 (2014; Zbl 1301.37052) Full Text: DOI Link
Kotlyarov, Vladimir Complete linearization of a mixed problem to the Maxwell-Bloch equations by matrix Riemann-Hilbert problems. (English) Zbl 1287.78003 J. Phys. A, Math. Theor. 46, No. 28, Article ID 285206, 24 p. (2013). Reviewer: Shoukry S. Hassan (Bahrain) MSC: 78A40 78A45 35Q15 78A60 81V80 PDFBibTeX XMLCite \textit{V. Kotlyarov}, J. Phys. A, Math. Theor. 46, No. 28, Article ID 285206, 24 p. (2013; Zbl 1287.78003) Full Text: DOI arXiv
Gerdjikov, Vladimir S.; Grahovski, Georgi G.; Mikhailov, Alexander V.; Valchev, Tihomir I. Polynomial bundles and generalised Fourier transforms for integrable equations on A.III-type symmetric spaces. (English) Zbl 1248.37065 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 096, 48 p. (2011). MSC: 37K20 35Q51 74J30 78A60 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 096, 48 p. (2011; Zbl 1248.37065) Full Text: DOI arXiv
Antipov, Yuri A. A genus-3 Riemann-Hilbert problem and diffraction of a wave by two orthogonal resistive half-planes. (English) Zbl 1243.78023 Comput. Methods Funct. Theory 11, No. 2, 439-462 (2011). MSC: 78A45 30E25 35P05 45E05 35Q15 14N25 PDFBibTeX XMLCite \textit{Y. A. Antipov}, Comput. Methods Funct. Theory 11, No. 2, 439--462 (2011; Zbl 1243.78023) Full Text: DOI
Gerdjikov, Vladimir S.; Grahovski, Georgi G. Multi-component NLS models on symmetric spaces: spectral properties versus representations theory. (English) Zbl 1218.37101 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 044, 29 p. (2010). MSC: 37K20 35Q51 74J30 78A60 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} and \textit{G. G. Grahovski}, SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 044, 29 p. (2010; Zbl 1218.37101) Full Text: DOI arXiv EuDML
Antipov, Y. A. A symmetric Riemann-Hilbert problem for order-4 vectors in diffraction theory. (English) Zbl 1205.78021 Q. J. Mech. Appl. Math. 63, No. 3, 349-374 (2010). Reviewer: Vladimir Čadež (Beograd) MSC: 78A45 35Q15 15A99 PDFBibTeX XMLCite \textit{Y. A. Antipov}, Q. J. Mech. Appl. Math. 63, No. 3, 349--374 (2010; Zbl 1205.78021) Full Text: DOI
Moskovchenko, E. A.; Kotlyarov, V. P. Periodic boundary data for an integrable model of stimulated Raman scattering: long-time asymptotic behavior. (English) Zbl 1187.78055 J. Phys. A, Math. Theor. 43, No. 5, Article ID 055205, 31 p. (2010). MSC: 78A60 78A45 35Q15 PDFBibTeX XMLCite \textit{E. A. Moskovchenko} and \textit{V. P. Kotlyarov}, J. Phys. A, Math. Theor. 43, No. 5, Article ID 055205, 31 p. (2010; Zbl 1187.78055) Full Text: DOI
Gerdjikov, Vladimir S. On spectral theory of Lax operators on symmetric spaces: vanishing versus constant boundary conditions. (English) Zbl 1205.35292 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 10th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 6–11, 2008. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-323-531-5/pbk). 88-123 (2009). Reviewer: Q. P. Liu (Beijing) MSC: 35Q55 37K15 35Q15 78A46 35A08 81U40 PDFBibTeX XMLCite \textit{V. S. Gerdjikov}, in: Proceedings of the 10th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 6--11, 2008. Sofia: Avangard Prima. 88--123 (2009; Zbl 1205.35292)
Gerdjikov, Vladimir S.; Kostov, Nikolay A. Reductions of multicomponent mKdV equations on symmetric spaces of DIII-type. (English) Zbl 1157.37335 SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 029, 30 p. (2008). MSC: 37K20 35Q53 35Q51 37H10 35Q55 78A60 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} and \textit{N. A. Kostov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 029, 30 p. (2008; Zbl 1157.37335) Full Text: DOI EuDML
Zabolotskii, A. A. Reduced Maxwell-Bloch equations with anisotropic dipole momentum. (English) Zbl 1138.78007 Physica D 237, No. 4, 540-550 (2008). MSC: 78A46 35Q15 PDFBibTeX XMLCite \textit{A. A. Zabolotskii}, Physica D 237, No. 4, 540--550 (2008; Zbl 1138.78007) Full Text: DOI
Antipov, Y. A.; Silvestrov, V. V. Method of integral equations for systems of difference equations in diffraction theory. (English) Zbl 1180.78021 IMA J. Appl. Math. 72, No. 6, 681-705 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 78A45 39A05 PDFBibTeX XMLCite \textit{Y. A. Antipov} and \textit{V. V. Silvestrov}, IMA J. Appl. Math. 72, No. 6, 681--705 (2007; Zbl 1180.78021) Full Text: DOI Link
Moskovchenko, E. A.; Kotlyarov, V. P. A new Riemann-Hilbert problem in a model of stimulated Raman scattering. (English) Zbl 1111.35053 J. Phys. A, Math. Gen. 39, No. 47, 14591-14610 (2006). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 35Q51 78A25 78A60 PDFBibTeX XMLCite \textit{E. A. Moskovchenko} and \textit{V. P. Kotlyarov}, J. Phys. A, Math. Gen. 39, No. 47, 14591--14610 (2006; Zbl 1111.35053) Full Text: DOI
Antipov, Y. A.; Silvestrov, V. V. Electromagnetic scattering from an anisotropic impedance half-plane at oblique incidence: the exact solution. (English) Zbl 1136.78006 Q. J. Mech. Appl. Math. 59, No. 2, 211-251 (2006). Reviewer: Johannes Elschner (Berlin) MSC: 78A45 39A05 PDFBibTeX XMLCite \textit{Y. A. Antipov} and \textit{V. V. Silvestrov}, Q. J. Mech. Appl. Math. 59, No. 2, 211--251 (2006; Zbl 1136.78006) Full Text: DOI
Craster, R. V.; Obnosov, Yu. V. A model four-phase square checkerboard structure. (English) Zbl 1188.78007 Q. J. Mech. Appl. Math. 59, No. 1, 1-27 (2006). Reviewer: Ll. G. Chambers (Bangor) MSC: 78A48 35Q60 78A30 PDFBibTeX XMLCite \textit{R. V. Craster} and \textit{Yu. V. Obnosov}, Q. J. Mech. Appl. Math. 59, No. 1, 1--27 (2006; Zbl 1188.78007) Full Text: DOI
Antipov, Y. A.; Silvestrov, V. V. Vector functional-difference equation in electromagnetic scattering. (English) Zbl 1059.78013 IMA J. Appl. Math. 69, No. 1, 27-69 (2004). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78A45 30D05 30E25 30F30 34K10 39B72 PDFBibTeX XMLCite \textit{Y. A. Antipov} and \textit{V. V. Silvestrov}, IMA J. Appl. Math. 69, No. 1, 27--69 (2004; Zbl 1059.78013) Full Text: DOI Link
Lüneburg, Ernst Half-plane diffraction problems using alternative integral representations. (English) Zbl 1049.78009 Gohberg, Israel (ed.) et al., Operator theoretical methods and applications to mathematical physics. The Erhard Meister memorial volume. Basel: Birkhäuser (ISBN 3-7643-6634-6/hbk). Oper. Theory, Adv. Appl. 147, 327-352 (2004). Reviewer: Johannes Elschner (Berlin) MSC: 78A45 47A68 PDFBibTeX XMLCite \textit{E. Lüneburg}, in: Operator theoretical methods and applications to mathematical physics. The Erhard Meister memorial volume. Basel: Birkhäuser. 327--352 (2004; Zbl 1049.78009)
Kamvissis, Spyridon; McLaughlin, Kenneth D. T-R; Miller, Peter D. Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation. (English) Zbl 1057.35063 Annals of Mathematics Studies 154. Princeton, NJ: Princeton University Press (ISBN 0-691-11482-X/pbk; 0-691-11483-8/hbk). xii, 265 p. (2003). Reviewer: Markus Kunze (Essen) MSC: 35Q55 35-02 81Q20 37K15 35Q51 78A60 PDFBibTeX XMLCite \textit{S. Kamvissis} et al., Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation. Princeton, NJ: Princeton University Press (2003; Zbl 1057.35063) Full Text: DOI arXiv
Antipov, Y. A. Diffraction of a plane wave by a circular cone with an impedance boundary condition. (English) Zbl 1004.65121 SIAM J. Appl. Math. 62, No. 4, 1122-1152 (2002). MSC: 65N38 65N06 35A22 78M15 35J05 35Q60 78A45 PDFBibTeX XMLCite \textit{Y. A. Antipov}, SIAM J. Appl. Math. 62, No. 4, 1122--1152 (2002; Zbl 1004.65121) Full Text: DOI
Brovenko, A. V.; Melezhik, P. N.; Poedinchuk, A. E. Diffraction of electromagnetic waves by a partially screened dielectric anisotropic cylinder. (Russian. English summary) Zbl 0979.78011 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 2, 89-95 (2001). Reviewer: O.Yu.Zharii (Kyïv) MSC: 78A45 45F10 PDFBibTeX XMLCite \textit{A. V. Brovenko} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 2, 89--95 (2001; Zbl 0979.78011)
Doktorov, E. V.; Shchesnovich, V. S. Nearly integrable nonlinear equations on the half line describing the resonant interaction of radiation with matter. (English) Zbl 0987.35153 Inverse Probl. 17, No. 4, 971-983 (2001). MSC: 35Q60 78A40 35Q15 PDFBibTeX XMLCite \textit{E. V. Doktorov} and \textit{V. S. Shchesnovich}, Inverse Probl. 17, No. 4, 971--983 (2001; Zbl 0987.35153) Full Text: DOI
Doroshenko, V. A.; Kravchenko, V. F. Electromagnetic wave scattering by a non-closed circular cone. (Russian) Zbl 1058.78556 Dokl. Akad. Nauk, Ross. Akad. Nauk 375, No. 5, 611-614 (2000). Reviewer: Andrei Zemskov (Moskva) MSC: 78A50 78A55 78A45 35Q15 PDFBibTeX XMLCite \textit{V. A. Doroshenko} and \textit{V. F. Kravchenko}, Dokl. Akad. Nauk, Ross. Akad. Nauk 375, No. 5, 611--614 (2000; Zbl 1058.78556)
Shepelsky, Dimitry A Riemann-Hilbert problem for propagation of electromagnetic waves in inhomogeneous, dispersive \(\Omega\) waveguide. (English) Zbl 0977.34074 Math. Phys. Anal. Geom. 3, No. 2, 179-193 (2000). Reviewer: Vyacheslav Pivovarchik (Odessa) MSC: 34L25 34A55 78A50 34C60 78A25 PDFBibTeX XMLCite \textit{D. Shepelsky}, Math. Phys. Anal. Geom. 3, No. 2, 179--193 (2000; Zbl 0977.34074) Full Text: DOI
Boutet de Monvel, Anne; Shepelsky, Dmitry Riemann-Hilbert problem and frequency-domain inverse problem for a stratified omega medium. (English) Zbl 0995.78019 Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10-14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 460-464 (2000). MSC: 78A46 30E25 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} and \textit{D. Shepelsky}, in: Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; Rocquencourt: INRIA, Institut National de Recherche en Informatique et en Automatique. 460--464 (2000; Zbl 0995.78019)
Wen, Guo Chun Approximate methods and numerical analysis for elliptic complex equations. (English) Zbl 0940.65110 Asian Mathematics Series. 2. London: Gordon and Breach. xii, 235 p. (1999). Reviewer: M.Kracht (Düsseldorf) MSC: 65Nxx 35-02 35J60 65-02 35J25 35J40 35J65 35Q15 35Q60 74K20 74S05 76M10 78M10 PDFBibTeX XMLCite \textit{G. C. Wen}, Approximate methods and numerical analysis for elliptic complex equations. London: Gordon and Breach (1999; Zbl 0940.65110)
Sheen, Dongwoo; Shepelsky, Dmitry Inverse scattering problem for stratified uniaxial bianisotropic medium. (English) Zbl 0957.78012 DeSanto, John A. (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the 4th international conference held at Mines in Golden, CO, USA, June 1-5, 1998. Philadelphia, PA: SIAM. Proc. Appl. Math. 517-519 (1998). MSC: 78A46 78A45 PDFBibTeX XMLCite \textit{D. Sheen} and \textit{D. Shepelsky}, Proc. Appl. Math. 517--519, 517--519 (1998; Zbl 0957.78012)
Alkumru, A.; Polat, B. Multiple diffraction of a line source field by a three-part thin transmission slab. (English) Zbl 0907.45004 ZAMM, Z. Angew. Math. Mech. 78, No. 3, 183-195 (1998). Reviewer: Cornelis van der Mee (Cagliari) MSC: 45E10 78A45 35J05 47B35 PDFBibTeX XMLCite \textit{A. Alkumru} and \textit{B. Polat}, ZAMM, Z. Angew. Math. Mech. 78, No. 3, 183--195 (1998; Zbl 0907.45004) Full Text: DOI
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis The one-dimensional inverse scattering problem for nonhomogeneous media with discontinuous wave speed. (English) Zbl 0883.34077 Hinton, Don (ed.) et al., Spectral theory and computational methods of Sturm-Liouville problems. Proceedings of the 1996 conference, Knoxville, TN, USA, in conjunction with the 26th Barrett memorial lecture series. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 191, 105-133 (1997). MSC: 34L25 81U40 34A55 78A45 35Q15 45E99 PDFBibTeX XMLCite \textit{T. Aktosun} et al., Lect. Notes Pure Appl. Math. 191, 105--133 (1997; Zbl 0883.34077)
Wegert, Elias; Oestreich, Dieter On a non-symmetric problem in electrochemical machining. (English) Zbl 0880.30033 Math. Methods Appl. Sci. 20, No. 10, 841-854 (1997). Reviewer: R.Wegmann (Garching) MSC: 30E25 78A30 65E05 92E99 PDFBibTeX XMLCite \textit{E. Wegert} and \textit{D. Oestreich}, Math. Methods Appl. Sci. 20, No. 10, 841--854 (1997; Zbl 0880.30033) Full Text: DOI
Uehara, Masahiro; Yashiro, Ken’ichiro; Ohkawa, Sumio A method for solving Riemann-Hilbert boundary value problems in nonreciprocal wave propagation. (English) Zbl 0878.35086 J. Math. Phys. 38, No. 5, 2417-2434 (1997). Reviewer: V.Mityushev (Słupsk) MSC: 35Q15 30E25 78A40 35C05 PDFBibTeX XMLCite \textit{M. Uehara} et al., J. Math. Phys. 38, No. 5, 2417--2434 (1997; Zbl 0878.35086) Full Text: DOI
İdemen, Mithat; Alkumru, A.; Akduman, İ. One-dimensional profile inversion of a half-space bounded by a three-part impedance ground. (English) Zbl 0857.35132 Inverse Probl. 12, No. 5, 641-666 (1996). MSC: 35R30 35Q60 78A25 PDFBibTeX XMLCite \textit{M. İdemen} et al., Inverse Probl. 12, No. 5, 641--666 (1996; Zbl 0857.35132) Full Text: DOI
Idemen, Mithat; Akduman, Ibrahim One-dimensional profile inversion of a half-space over a two-part impedance ground. (English) Zbl 0949.78006 IEEE Trans. Antennas Propag. 44, No. 7, 933-942 (1996). MSC: 78A45 65R20 39B72 45D05 PDFBibTeX XMLCite \textit{M. Idemen} and \textit{I. Akduman}, IEEE Trans. Antennas Propag. 44, No. 7, 933--942 (1996; Zbl 0949.78006) Full Text: DOI
Popov, K. V.; Tikhonravov, A. V. New uniqueness classes for determining the parameters of a stratified medium from its energy reflectance. (English. Russian original) Zbl 0915.65076 Comput. Math. Math. Phys. 36, No. 11, 1625-1633 (1996); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 11, 162-172 (1996). MSC: 65L05 34A55 34M50 78A45 PDFBibTeX XMLCite \textit{K. V. Popov} and \textit{A. V. Tikhonravov}, Comput. Math. Math. Phys. 36, No. 11, 1625--1633 (1996; Zbl 0915.65076); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 11, 162--172 (1996)
Svezhentsev, A. E. Waves in coupled cylindrical slot and slip transmitting lines. (Russian) Zbl 0894.45008 Dopov. Akad. Nauk Ukr. 1996, No. 5, 63-69 (1996). Reviewer: O.Yu.Zharii (Kyïv) MSC: 45F10 65R20 78A40 78A50 PDFBibTeX XMLCite \textit{A. E. Svezhentsev}, Dopov. Akad. Nauk Ukr. 1996, No. 5, 63--69 (1996; Zbl 0894.45008)
Boutet de Monvel, A.; Shepelsky, D. Inverse scattering problem for anisotropic media. (English) Zbl 0842.34084 J. Math. Phys. 36, No. 7, 3443-3453 (1995). MSC: 34L25 78A45 34A55 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} and \textit{D. Shepelsky}, J. Math. Phys. 36, No. 7, 3443--3453 (1995; Zbl 0842.34084) Full Text: DOI Link
Latyshev, A. V. The solution of boundary-value problems for the equations of radiation transfer. (English. Russian original) Zbl 0820.65096 Comput. Math. Math. Phys. 34, No. 2, 193-203 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 2, 234-245 (1994). MSC: 65R20 45K05 45C05 85A25 78A40 78A45 PDFBibTeX XMLCite \textit{A. V. Latyshev}, Comput. Math. Math. Phys. 34, No. 2, 234--245 (1994; Zbl 0820.65096); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 2, 234--245 (1994)
Meister, E.; Penzel, F.; Speck, F.-O.; Teixeira, F. S. Two-media scattering problems in a half-space. (English) Zbl 0791.35133 Begehr, H. (ed.) et al., Partial differential equations with real analysis. Dedicated to Robert Pertsch Gilbert on the occasion of his 60th birthday. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 263, 122-146 (1992). Reviewer: G.F.Roach (Glasgow) MSC: 35Q60 78A45 35P25 35J05 35J25 PDFBibTeX XMLCite \textit{E. Meister} et al., Pitman Res. Notes Math. Ser. 263, 122--146 (1992; Zbl 0791.35133)
von Wolfersdorf, Lothar On an electromagnetic inverse problem for dispersive media. (English) Zbl 0725.73030 Q. Appl. Math. 49, No. 2, 237-246 (1991). MSC: 74J25 74F15 74J20 31A25 78A40 PDFBibTeX XMLCite \textit{L. von Wolfersdorf}, Q. Appl. Math. 49, No. 2, 237--246 (1991; Zbl 0725.73030) Full Text: DOI
Pleshchinskaya, I. E.; Pleshchinskij, N. B. Solution of the problem of diffraction of electromagnetic waves on periodic grating by the method of integral equations. (English. Russian original) Zbl 0663.45002 J. Sov. Math. 42, No. 1, 1486-1505 (1988); translation from Issled. Prikl. Mat. 11, No. 2, 61-78 (1984). MSC: 45E05 30E20 78A45 PDFBibTeX XMLCite \textit{I. E. Pleshchinskaya} and \textit{N. B. Pleshchinskij}, J. Sov. Math. 42, No. 1, 1486--1505 (1988; Zbl 0663.45002); translation from Issled. Prikl. Mat. 11, No. 2, 61--78 (1984) Full Text: DOI EuDML
Ziolkowski, Richard W. n-series problems and the coupling of electromagnetic waves to apertures: A Riemann-Hilbert approach. (English) Zbl 0596.30056 SIAM J. Math. Anal. 16, 358-378 (1985). MSC: 30E25 78A30 PDFBibTeX XMLCite \textit{R. W. Ziolkowski}, SIAM J. Math. Anal. 16, 358--378 (1985; Zbl 0596.30056) Full Text: DOI
Pleshchinskaya, I. E.; Pleshchinskij, N. B. On the solution of the problem of diffraction of electromagnetic waves on a periodic grating by the method of integral equations. (Russian) Zbl 0579.45002 Issled. Prikl. Mat. 11, No. 2, 61-78 (1984). Reviewer: M.Li MSC: 45E05 30E20 78A45 PDFBibTeX XMLCite \textit{I. E. Pleshchinskaya} and \textit{N. B. Pleshchinskij}, Issled. Prikl. Mat. 11, No. 2, 61--78 (1984; Zbl 0579.45002) Full Text: EuDML
Rodin, Yu. L. The Cauchy problem for the Landau-Lifschitz equation on a finite interval. (English) Zbl 0557.35119 Lett. Math. Phys. 8, 371-377 (1984). MSC: 35Q99 78A25 35Q15 PDFBibTeX XMLCite \textit{Yu. L. Rodin}, Lett. Math. Phys. 8, 371--377 (1984; Zbl 0557.35119) Full Text: DOI
Rodin, Yu. L. The Riemann boundary problem on a torus and the inverse scattering problem for the Landau-Lifschitz equation. (English) Zbl 0539.35069 Lett. Math. Phys. 7, 3-8 (1983). MSC: 35Q99 35P25 78A25 35Q15 35R30 PDFBibTeX XMLCite \textit{Yu. L. Rodin}, Lett. Math. Phys. 7, 3--8 (1983; Zbl 0539.35069) Full Text: DOI
Shapkina, N. E. Solution of a system of elliptic equations in noncylindrical domains. (English. Russian original) Zbl 0525.35031 Mosc. Univ. Comput. Math. Cybern. 1983, No. 1, 12-19 (1983); translation from Vestn. Mosk. Univ., Ser. XV 1983, No. 1, 11-17 (1983). MSC: 35J25 78A45 PDFBibTeX XMLCite \textit{N. E. Shapkina}, Mosc. Univ. Comput. Math. Cybern. 1983, No. 1, 12--19 (1983; Zbl 0525.35031); translation from Vestn. Mosk. Univ., Ser. XV 1983, No. 1, 11--17 (1983)
Siewert, C. E.; Kelley, C. T.; Garcia, R. D. M. An analytical expression for the H-matrix relevant to Rayleigh scattering. (English) Zbl 0485.35075 J. Math. Anal. Appl. 84, 509-518 (1981). MSC: 35Q15 35P25 78A45 PDFBibTeX XMLCite \textit{C. E. Siewert} et al., J. Math. Anal. Appl. 84, 509--518 (1981; Zbl 0485.35075) Full Text: DOI