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Author ID: valovik.dmitry-v Recent zbMATH articles by "Valovik, Dmitry V."
Published as: Valovik, D. V.; Valovik, Dmitry V.; Valovik, Dmitry
External Links: ORCID
Documents Indexed: 52 Publications since 2008
Co-Authors: 12 Co-Authors with 37 Joint Publications
29 Co-Co-Authors

Publications by Year

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

Citations by Year