Edit Profile (opens in new tab) Valovik, Dmitry V. Co-Author Distance Author ID: valovik.dmitry-v Published as: Valovik, D. V.; Valovik, Dmitry V.; Valovik, Dmitry more...less External Links: ORCID Documents Indexed: 52 Publications since 2008 Co-Authors: 12 Co-Authors with 37 Joint Publications 29 Co-Co-Authors all top 5 Co-Authors 15 single-authored 15 Smirnov, Yury G. 9 Tikhov, Stanislav V. 5 Kurseeva, Valeria Yu. 4 Smol’kin, Eugenii Yu. 3 Raschetova, Daria. V. 2 Martynova, V. Yu. 2 Martynova, Valeria 1 Biteleva, E. O. 1 Chalyshov, G. V. 1 Moskaleva, M. A. 1 Moskaleva, Marina 1 Zarembo, E. V. all top 5 Serials 7 Differential Equations 5 Journal of Mathematical Physics 5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 5 Computational Mathematics and Mathematical Physics 3 Lobachevskii Journal of Mathematics 2 Journal of Differential Equations 2 Journal of Mathematical Sciences (New York) 2 Sbornik: Mathematics 2 Advances in Mathematical Physics 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Wave Motion 1 Applied Mathematics and Computation 1 Monatshefte für Mathematik 1 Studies in Applied Mathematics 1 Asymptotic Analysis 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Russian Mathematics 1 Mathematical Problems in Engineering 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Advances in Numerical Analysis 1 Applied Mathematics 1 ISRN Mathematical Physics all top 5 Fields 34 Optics, electromagnetic theory (78-XX) 26 Partial differential equations (35-XX) 22 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 5 Operator theory (47-XX) 3 Numerical analysis (65-XX) 1 Potential theory (31-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 269 times in 70 Documents Cited by ▼ Year ▼ Guided electromagnetic waves propagating in a two-layer cylindrical dielectric waveguide with inhomogeneous nonlinear permittivity. Zbl 1344.78016 Smol’kin, E. Yu.; Valovik, D. V. 25 2015 Integral dispersion equation method to solve a nonlinear boundary eigenvalue problem. Zbl 1300.34043 Valovik, D. V. 20 2014 On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity. Zbl 1353.78020 Smirnov, Yu. G.; Valovik, D. V. 17 2016 Problem of nonlinear coupled electromagnetic TE-TE wave propagation. Zbl 1296.78006 Smirnov, Yury G.; Valovik, Dmitry V. 16 2013 Coupled electromagnetic transverse-electric-transverse magnetic wave propagation in a cylindrical waveguide with Kerr nonlinearity. Zbl 1282.78026 Smirnov, Yury G.; Valovik, Dmitry V. 14 2013 On the problem of nonlinear coupled electromagnetic transverse-electric-transverse magnetic wave propagation. Zbl 1282.78019 Valovik, Dmitry V. 14 2013 Nonlinear effects of electromagnetic TM wave propagation in anisotropic layer with Kerr nonlinearity. Zbl 1251.78011 Smirnov, Yu G.; Valovik, D. V. 12 2012 Coupled electromagnetic TE-TM wave propagation in a layer with Kerr nonlinearity. Zbl 1278.78004 Smirnov, Yury G.; Valovik, Dmitry V. 11 2012 Propagation of TM waves in a layer with arbitrary nonlinearity. Zbl 1274.78035 Valovik, D. V. 10 2011 Nonlinear coupled electromagnetic wave propagation: saturable nonlinearities. Zbl 1467.78013 Valovik, D. V. 10 2016 On the existence of infinitely many nonperturbative solutions in a transmission eigenvalue problem for nonlinear Helmholtz equation with polynomial nonlinearity. Zbl 1480.34113 Valovik, D. V. 10 2018 On the eigenvalues of a nonlinear spectral problem. Zbl 1344.34038 Valovik, D. V.; Kurseeva, V. Yu. 9 2016 Pseudodifferential operator method in a problem on the diffraction of an electromagnetic wave on a dielectric body. Zbl 1252.35288 Valovik, D. V.; Smirnov, Yu. G. 8 2012 Nonlinear double-layer Bragg waveguide: analytical and numerical approaches to investigate waveguiding problem. Zbl 1295.78014 Smirnov, Yury G.; Smol’kin, Eugenii Yu.; Valovik, Dmitry V. 8 2014 Propagation of electromagnetic waves in an open planar dielectric waveguide filled with an nonlinear medium. I: TE waves. Zbl 1427.78023 Valovik, D. V. 8 2019 On a nonlinear eigenvalue problem related to the theory of propagation of electromagnetic waves. Zbl 1453.34031 Valovik, D. V. 7 2018 On spectral properties of the Sturm-Liouville operator with power nonlinearity. Zbl 1420.34099 Valovik, D. V. 7 2019 On the existence of an infinite number of eigenvalues in one nonlinear problem of waveguide theory. Zbl 1518.34027 Valovik, D. V.; Tikhov, S. V. 6 2018 Asymptotical analysis of a nonlinear Sturm-Liouville problem: linearisable and non-linearisable solutions. Zbl 1452.35201 Kurseeva, Valeria; Moskaleva, Marina; Valovik, Dmitry 5 2020 Study of a nonlinear eigenvalue problem by the integral characteristic equation method. Zbl 1444.34041 Valovik, D. V. 5 2020 Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide. Zbl 1383.78025 Valovik, D. V.; Smol’kin, E. Yu. 4 2017 The method of Cauchy problem for solving a nonlinear eigenvalue transmission problem for TM waves propagating in a layer with arbitrary nonlinearity. Zbl 1274.78073 Valovik, D. V.; Zarembo, E. V. 4 2013 Boundary eigenvalue problem for Maxwell equations in a nonlinear dielectric layer. Zbl 1213.35217 Smirnov, Yury G.; Valovik, Dmitry V. 4 2010 Perturbation method in the theory of propagation of two-frequency electromagnetic waves in a nonlinear waveguide. I: TE-TE waves. Zbl 1460.78010 Valovik, D. V. 4 2021 On the volume singular integro-differential equation approach for the electromagnetic diffraction problem. Zbl 1360.35267 Smirnov, Yu. G.; Tsupak, A. A.; Valovik, D. V. 3 2017 Nonlinear coupled wave propagation in a \(n\)-dimensional layer. Zbl 1411.78006 Smirnov, Yury G.; Valovik, Dmitry V. 3 2017 Nonlinear multiparameter eigenvalue problems: linearised and nonlinearised solutions. Zbl 1415.34049 Kurseeva, V. Yu.; Tikhov, S. V.; Valovik, D. V. 3 2019 Nonlinear transmission eigenvalue problem describing TE wave propagation in two-layered cylindrical dielectric waveguides. Zbl 1299.78015 Valovik, D. V.; Smirnov, Yu. G.; Smol’kin, E. Yu. 3 2013 The spectral properties of some nonlinear operators of Sturm-Liouville type. Zbl 1390.34236 Valovik, Dmitry V. 2 2017 A nonlinear boundary eigenvalue problem for TM-polarized electromagnetic waves in a nonlinear layer. Zbl 1177.78050 Valovik, D. V.; Smirnov, Yu. G. 2 2008 On the problem of electromagnetic waves propagating along a nonlinear inhomogeneous cylindrical waveguide. Zbl 1273.78010 Smirnov, Yury G.; Valovik, Dmitry V. 2 2013 Asymptotic analysis of a nonlinear eigenvalue problem arising in the waveguide theory. Zbl 1444.34042 Valovik, D. V.; Tikhov, S. V. 2 2019 Asymptotic analysis of a nonlinear eigenvalue problem arising in electromagnetics. Zbl 1440.35321 Valovik, D. V. 2 2020 Theory of nonlinear guided electromagnetic waves in a plane two-layered dielectric waveguide. Zbl 1426.78007 Kurseeva, Valeria Yu.; Valovik, Dmitry V. 2 2017 On the problem of propagation of nonlinear coupled TE-TM waves in a layer. Zbl 1313.35338 Valovik, D. V.; Smirnov, Yu. G. 1 2014 Fully symmetric guided electromagnetic waves in a shielded plane dielectric slab. Zbl 1433.78009 Biteleva, E. O.; Raschetova, Daria. V.; Valovik, D. V. 1 2019 Perturbation of nonlinear operators in the theory of nonlinear multifrequency electromagnetic wave propagation. Zbl 1515.47076 Tikhov, S. V.; Valovik, D. V. 1 2019 Propagation of electromagnetic waves in an open planar dielectric waveguide filled with a nonlinear medium. II: TM waves. Zbl 1451.78023 Valovik, D. V. 1 2020 Nonlinearizable solutions in an eigenvalue problem for Maxwell’s equations with nonhomogeneous nonlinear permittivity in a layer. Zbl 07778738 Tikhov, Stanislav V.; Valovik, Dmitry V. 1 2022 Maxwell’s equations with arbitrary self-action nonlinearity in a waveguiding theory: guided modes and asymptotic of eigenvalues. Zbl 1421.78022 Tikhov, S. V.; Valovik, D. V. 1 2019 On the integral characteristic function of the Sturm-Liouville problem. Zbl 1462.34048 Valovik, Dmitry V. 1 2020 Nonlinearizable solutions in an eigenvalue problem for Maxwell’s equations with nonhomogeneous nonlinear permittivity in a layer. Zbl 07778738 Tikhov, Stanislav V.; Valovik, Dmitry V. 1 2022 Perturbation method in the theory of propagation of two-frequency electromagnetic waves in a nonlinear waveguide. I: TE-TE waves. Zbl 1460.78010 Valovik, D. V. 4 2021 Asymptotical analysis of a nonlinear Sturm-Liouville problem: linearisable and non-linearisable solutions. Zbl 1452.35201 Kurseeva, Valeria; Moskaleva, Marina; Valovik, Dmitry 5 2020 Study of a nonlinear eigenvalue problem by the integral characteristic equation method. Zbl 1444.34041 Valovik, D. V. 5 2020 Asymptotic analysis of a nonlinear eigenvalue problem arising in electromagnetics. Zbl 1440.35321 Valovik, D. V. 2 2020 Propagation of electromagnetic waves in an open planar dielectric waveguide filled with a nonlinear medium. II: TM waves. Zbl 1451.78023 Valovik, D. V. 1 2020 On the integral characteristic function of the Sturm-Liouville problem. Zbl 1462.34048 Valovik, Dmitry V. 1 2020 Propagation of electromagnetic waves in an open planar dielectric waveguide filled with an nonlinear medium. I: TE waves. Zbl 1427.78023 Valovik, D. V. 8 2019 On spectral properties of the Sturm-Liouville operator with power nonlinearity. Zbl 1420.34099 Valovik, D. V. 7 2019 Nonlinear multiparameter eigenvalue problems: linearised and nonlinearised solutions. Zbl 1415.34049 Kurseeva, V. Yu.; Tikhov, S. V.; Valovik, D. V. 3 2019 Asymptotic analysis of a nonlinear eigenvalue problem arising in the waveguide theory. Zbl 1444.34042 Valovik, D. V.; Tikhov, S. V. 2 2019 Fully symmetric guided electromagnetic waves in a shielded plane dielectric slab. Zbl 1433.78009 Biteleva, E. O.; Raschetova, Daria. V.; Valovik, D. V. 1 2019 Perturbation of nonlinear operators in the theory of nonlinear multifrequency electromagnetic wave propagation. Zbl 1515.47076 Tikhov, S. V.; Valovik, D. V. 1 2019 Maxwell’s equations with arbitrary self-action nonlinearity in a waveguiding theory: guided modes and asymptotic of eigenvalues. Zbl 1421.78022 Tikhov, S. V.; Valovik, D. V. 1 2019 On the existence of infinitely many nonperturbative solutions in a transmission eigenvalue problem for nonlinear Helmholtz equation with polynomial nonlinearity. Zbl 1480.34113 Valovik, D. V. 10 2018 On a nonlinear eigenvalue problem related to the theory of propagation of electromagnetic waves. Zbl 1453.34031 Valovik, D. V. 7 2018 On the existence of an infinite number of eigenvalues in one nonlinear problem of waveguide theory. Zbl 1518.34027 Valovik, D. V.; Tikhov, S. V. 6 2018 Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide. Zbl 1383.78025 Valovik, D. V.; Smol’kin, E. Yu. 4 2017 On the volume singular integro-differential equation approach for the electromagnetic diffraction problem. Zbl 1360.35267 Smirnov, Yu. G.; Tsupak, A. A.; Valovik, D. V. 3 2017 Nonlinear coupled wave propagation in a \(n\)-dimensional layer. Zbl 1411.78006 Smirnov, Yury G.; Valovik, Dmitry V. 3 2017 The spectral properties of some nonlinear operators of Sturm-Liouville type. Zbl 1390.34236 Valovik, Dmitry V. 2 2017 Theory of nonlinear guided electromagnetic waves in a plane two-layered dielectric waveguide. Zbl 1426.78007 Kurseeva, Valeria Yu.; Valovik, Dmitry V. 2 2017 On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity. Zbl 1353.78020 Smirnov, Yu. G.; Valovik, D. V. 17 2016 Nonlinear coupled electromagnetic wave propagation: saturable nonlinearities. Zbl 1467.78013 Valovik, D. V. 10 2016 On the eigenvalues of a nonlinear spectral problem. Zbl 1344.34038 Valovik, D. V.; Kurseeva, V. Yu. 9 2016 Guided electromagnetic waves propagating in a two-layer cylindrical dielectric waveguide with inhomogeneous nonlinear permittivity. Zbl 1344.78016 Smol’kin, E. Yu.; Valovik, D. V. 25 2015 Integral dispersion equation method to solve a nonlinear boundary eigenvalue problem. Zbl 1300.34043 Valovik, D. V. 20 2014 Nonlinear double-layer Bragg waveguide: analytical and numerical approaches to investigate waveguiding problem. Zbl 1295.78014 Smirnov, Yury G.; Smol’kin, Eugenii Yu.; Valovik, Dmitry V. 8 2014 On the problem of propagation of nonlinear coupled TE-TM waves in a layer. Zbl 1313.35338 Valovik, D. V.; Smirnov, Yu. G. 1 2014 Problem of nonlinear coupled electromagnetic TE-TE wave propagation. Zbl 1296.78006 Smirnov, Yury G.; Valovik, Dmitry V. 16 2013 Coupled electromagnetic transverse-electric-transverse magnetic wave propagation in a cylindrical waveguide with Kerr nonlinearity. Zbl 1282.78026 Smirnov, Yury G.; Valovik, Dmitry V. 14 2013 On the problem of nonlinear coupled electromagnetic transverse-electric-transverse magnetic wave propagation. Zbl 1282.78019 Valovik, Dmitry V. 14 2013 The method of Cauchy problem for solving a nonlinear eigenvalue transmission problem for TM waves propagating in a layer with arbitrary nonlinearity. Zbl 1274.78073 Valovik, D. V.; Zarembo, E. V. 4 2013 Nonlinear transmission eigenvalue problem describing TE wave propagation in two-layered cylindrical dielectric waveguides. Zbl 1299.78015 Valovik, D. V.; Smirnov, Yu. G.; Smol’kin, E. Yu. 3 2013 On the problem of electromagnetic waves propagating along a nonlinear inhomogeneous cylindrical waveguide. Zbl 1273.78010 Smirnov, Yury G.; Valovik, Dmitry V. 2 2013 Nonlinear effects of electromagnetic TM wave propagation in anisotropic layer with Kerr nonlinearity. Zbl 1251.78011 Smirnov, Yu G.; Valovik, D. V. 12 2012 Coupled electromagnetic TE-TM wave propagation in a layer with Kerr nonlinearity. Zbl 1278.78004 Smirnov, Yury G.; Valovik, Dmitry V. 11 2012 Pseudodifferential operator method in a problem on the diffraction of an electromagnetic wave on a dielectric body. Zbl 1252.35288 Valovik, D. V.; Smirnov, Yu. G. 8 2012 Propagation of TM waves in a layer with arbitrary nonlinearity. Zbl 1274.78035 Valovik, D. V. 10 2011 Boundary eigenvalue problem for Maxwell equations in a nonlinear dielectric layer. Zbl 1213.35217 Smirnov, Yury G.; Valovik, Dmitry V. 4 2010 A nonlinear boundary eigenvalue problem for TM-polarized electromagnetic waves in a nonlinear layer. Zbl 1177.78050 Valovik, D. V.; Smirnov, Yu. G. 2 2008 all cited Publications top 5 cited Publications all top 5 Cited by 26 Authors 44 Valovik, Dmitry V. 32 Smirnov, Yury G. 9 Tikhov, Stanislav V. 8 Kurseeva, Valeria Yu. 6 Smolkin, Eugene 6 Smol’kin, Eugenii Yu. 3 Raschetova, Daria. V. 2 Kurseeva, Valery 2 Martynova, V. Yu. 2 Martynova, Valeria 1 Biteleva, E. O. 1 Chalyshov, G. V. 1 Delitsyn, L. L. 1 Dong, Huanhe 1 Jahanbakht, Sajad 1 Jazi, Bahram 1 Kiili, Hanna 1 Moskaleva, M. A. 1 Najari, Samaneh 1 Serov, Valery S. 1 Shestopalov, Yuri V. 1 Snegur, M. O. 1 Song, Jin 1 Tsupak, Aleksey A. 1 Yan, Zhenya 1 Zhou, Zijian all top 5 Cited in 27 Serials 11 Computational Mathematics and Mathematical Physics 10 Differential Equations 7 Lobachevskii Journal of Mathematics 6 Applicable Analysis 5 Journal of Mathematical Physics 4 Wave Motion 3 Advances in Mathematical Physics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Journal of Differential Equations 2 Journal of Mathematical Sciences (New York) 2 Sbornik: Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Monatshefte für Mathematik 1 Studies in Applied Mathematics 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Mathematical Problems in Engineering 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Waves in Random and Complex Media 1 Advances in Numerical Analysis 1 ISRN Mathematical Physics all top 5 Cited in 10 Fields 54 Optics, electromagnetic theory (78-XX) 39 Partial differential equations (35-XX) 28 Ordinary differential equations (34-XX) 10 Operator theory (47-XX) 9 Integral equations (45-XX) 8 Numerical analysis (65-XX) 3 Potential theory (31-XX) 1 Special functions (33-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Citations by Year