A. R. Its, V. Yu. Novokshenov. The Isomonodromic Deformation Method in the Theory of Painleve equations. Lecture Notes in Mathematics, vol. 1191, 313 p. Springer-Verlag, 1986.
V. Yu. Novokshenov. Minimal surfaces in the hyperbolic space and radial-symmetric solutions of the cosh-Laplace equation, in Algebraic and Geometric Methods in Mathematical Physics, eds. A. Boutet de Monvel and V. Marchenko. Kluwer Academic Publishers, p. 357–370, 1996.
V. Yu. Novokshenov. Dynamics of the Whitham gaps for real-valued solutions of Sine-Gordon equation with finite-gap boundary conditions // Funct. Analiz i ego prilozh, vol. 30, № 4, p. 31–44.
V. Yu. Novokshenov, A. G. Shagalov. Bound states for the elliptic sine-Gordon equation // Physica D, vol. 106, p. 81–94, 1997.
V. Yu. Novokshenov. Radial-Symmetric Solution of the Cosh-Laplace Equation and the Distribution of Its Singlarities // Russian. J. Math. Phys., vol. 5, № 2, p. 211–22, 1998.
A. I. Aptekarev, V. Yu. Novokshenov, Mat. Zametki, 116:6 (2024), 823–837 (to appear)
2022
2.
V. Yu. Novokshenov, “Asymptotic Solutions of the Discrete Painlevé Equation of Second Type”, Math. Notes, 112:4 (2022), 598–607
2021
3.
V. Yu. Novokshenov, “Discrete Riemann-Hilbert problem and interpolation of entire functions”, Ufa Math. J., 13:2 (2021), 70–80
4.
V.Yu.Novokshenov, “Localization in the Liouville Lattice and Movable Discrete Breathers”, Lobachevskii Journal of Mathematics, 42:6 (2021), 1210-1218
2020
5.
V. Yu. Novokshenov, “Approksimatsiya nulei obobschennykh polinomov Ermita s pomoschyu modulirovannoi ellipticheskoi funktsii”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 27, Zap. nauchn. sem. POMI, 494, eds. N. M. Bogolyubov, A. G. Pronko, POMI, SPb., 2020, 228–241
2019
6.
V. Yu. Novokshenov, “Parametricheskii rezonans v integriruemykh sistemakh i usrednenie na rimanovykh poverkhnostyakh”, Sovremennaya matematika i ee prilozheniya. Tematicheskie obzory, Itogi nauki i tekhniki, VINITI, Moskva, 2019 (to appear)
7.
V. Yu. Novokshenov, “Parametric resonance in integrable systems and averaging on Riemann surfaces”, Differential Equations, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 163, VINITI, Moscow, 2019, 65–80
2018
8.
V. Yu. Novokshenov, “Movable poles of Painleve I transcendents and singularities of monodromy data manifolds”, Recent Developments in Integrable Systems and Related Topics of Mathematical Physics, Kezenoi-Am 2016 (Grozny, Chechen Republic, 30 October - 3 November 2016), Springer Proceedings in Mathematics & Statistics, 273, eds. Buchstaber, Victor M., Konstantinou-Rizos, Sotiris, Mikhailov, Alexander V., Springer Verlag, 2018, XX–XX (to appear)
O. M. Kiselev, V. Yu. Novokshenov, “Vozniknovenie i raspad \pi - kinka v modeli sinus-Gordon s vysokochastotnoi nakachkoi”, Itogi nauki i tekhniki. Sovremennaya matematika i ee prilozheniya, VINITI, 152, VINITI RAN, Moskva, 2018, 53 – 66
10.
Victor Yu. Novokshenov, “Generalized Hermite Polynomials and Monodromy-Free Schrödinger Operators”, SIGMA, 14 (2018), 106 , 13 pp., arXiv: 1803.06819
O. M. Kiselev, V. Yu. Novokshenov, “Emergence and Decay of $\pi$-Kinks in the Sine-Gordon Model with High-Frequency Pumping”, J. Math. Sci. (N. Y.), 252:2 (2021), 175–189
2018
12.
O. M. Kiselev, V. Yu. Novokshenov, “Autoresonance in a model of a terahertz wave generator”, Proc. Steklov Inst. Math. (Suppl.), 301, suppl. 1 (2018), 88–102
2017
13.
V. Yu. Novokshenov, “Discrete integrable equations and special functions”, Ufa Math. Journal, 9:3 (2017), 118–130
2016
14.
O. M. Kiselev, V. Yu. Novokshenov, “Avtorezonans v modeli generatora teragertsevykh voln”, Trudy Instituta matematiki i mekhaniki UrO RAN, 2016, xx–xx (to appear)
2015
15.
V. Yu. Novokshenov, A. A. Schelkonogov, “Distribution of zeroes to generalized Hermite polynomials”, Ufa Math. Journal, 7:3 (2015), 54–66
2014
16.
V. Yu. Novokshenov, A. A. Schelkonogov, “Double scaling limit in Painlevé IV equation and asymptotics of the Okamoto polynomials”, Spectral Theory and Differential Equations: V. A. Marchenko’s 90th Anniversary Collection, American Mathematical Society Translations: Series 2, eds. E. Khruslov, L. Pastur, D. Shepelsky, American Mathematical Society, 2014, 199 – 210http://www.ams.org/books/trans2/233/12
V. Yu. Novokshenov, “Monodromy data singularities and special solutions of Painleve I equation”, Proceedings of Kyoto RIMS conference «Various Aspects on the Painlevé Equations» (Kyoto, Japan, 26–30 November 2012,), RIMS, eds. Y. Ohyama, K. Takei, RIMS Kôkyûroku Bessatsu, Kyoto, 2013, 85–100
19.
V. Yu. Novokshenov, “Special solutions of the first and second Painlevé equations and singularities of the monodromy data manifold”, Proc. Steklov Inst. Math. (Suppl.), 281, suppl. 1 (2013), 105–117
2012
20.
V. Yu. Novokshenov, “Tronquée solutions of the Painlevé II equation”, Theoret. and Math. Phys., 172:2 (2012), 1136–1146
2011
21.
L. A. Kalyakin, V. Yu. Novokshenov, I. T. Habibullin, E. G. Ekomasov, A. T. Kharisov, “In memory of Miniakhat Asgatovich Shamsutdinov”, Ufimsk. Mat. Zh., 3:1 (2011), 122–123
2010
22.
V. Yu. Novokshenov, “Poles of tritronquée solution to the Painlevé I equation and cubic anharmonic oscillator”, Regul. Chaotic Dyn., 15:2 (2010), 390–403
V. Yu. Novokshenov, “Padé approximations for Painlevé I and II transcendents”, Theoret. and Math. Phys., 159:3 (2009), 853–862
2008
24.
V. Yu. Novokshenov, “Zero-Dispersion Limit to the Korteweg-de Vries Equation: a Dressing Chain Approach”, Regul. Chaotic Dyn., 13:5 (2008), 424–430
2006
25.
V. Yu. Novokshenov, “Adiabatic deformations of integrable two-frequency Hamiltonians”, Regul. Chaotic Dyn., 11:2 (2006), 299–310
2003
26.
A. V. Mikhailov, V. Yu. Novokshenov, “The Riemann–Hilbert Problem for Analytic Description of the DM Solitons”, Theoret. and Math. Phys., 137:3 (2003), 1723–1732
27.
A. V. Mikhailov, V. Yu. Novokshenov, “Period Map for Nonlinear Pulses in Optical Dispersion-Managed Fibers”, Theoret. and Math. Phys., 134:1 (2003), 107–116
2002
28.
S. Boscolo, S. K. Turitsyn, V. Yu. Novokshenov, J. Nijhof, “Self-Similar Parabolic Optical Solitary Waves”, Theoret. and Math. Phys., 133:3 (2002), 1647–1656
29.
V. M. Babich, R. R. Gadyl'shin, A. R. Danilin, S. Yu. Dobrokhotov, V. A. Il'in, L. A. Kalyakin, E. F. Mishchenko, V. Yu. Novokshenov, Yu. S. Osipov, M. D. Ramazanov, N. Kh. Rozov, V. A. Sadovnichii, “Arlen Mikhailovich Il'in (A tribute in honor of his 70th birthday)”, Differ. Equ., 38:8 (2002), 1075–1080
2001
30.
JETP Letters, 73:5 (2001), 250–254
1997
31.
V. Yu. Novokshenov, A. G. Shagalov, “Bound states of the elliptic sine-Gordon equation”, Theoret. and Math. Phys., 111:1 (1997), 405–418
1996
32.
V. Yu. Novokshenov, “Whitham Gap Dynamics of the Real-Valued Solution of the Sine-Gordon Equation with Finite-Gap Boundary Conditions”, Funct. Anal. Appl., 30:4 (1996), 246–256
33.
A. I. Bobenko, A. M. Il'in, S. Yu. Dobrokhotov, A. R. Its, L. A. Kalyakin, V. B. Matveev, V. Yu. Novokshenov, A. B. Shabat, “Ramil' Faritovich Bikbaev (obituary)”, Russian Math. Surveys, 51:1 (1996), 129–133
1993
34.
V. Yu. Novokshenov, “Whitham Deformations of Top-Like Integrable Dynamical Systems”, Funct. Anal. Appl., 27:2 (1993), 118–127
1992
35.
V. Yu. Novokshenov, “Reflectionless potentials and soliton series of the KDV equation”, Theoret. and Math. Phys., 93:2 (1992), 1279–1291
1991
36.
V. Yu. Novokshenov, “The Boutroux ansatz for the second Painleve equation in the complex domain”, Math. USSR-Izv., 37:3 (1991), 587–609
1990
37.
V. Yu. Novokshenov, “A modulated elliptic function as a solution of the second
Painlevé equation in the complex plane”, Dokl. Math., 41:2 (1990), 252–255
1988
38.
A. R. Its, V. Yu. Novokshenov, “Effective sufficient conditions for the solvability of the inverse problem of monodromy theory for systems of linear ordinary differential equations”, Funct. Anal. Appl., 22:3 (1988), 190–200
1986
39.
V. Yu. Novokshenov, “Movable poles of the solutions of Painleve's equation of the third kind and their relation with mathieu functions”, Funct. Anal. Appl., 20:2 (1986), 113–123
40.
S. V. Manakov, V. Yu. Novokshenov, “Complete asymptotic representation of an electromagnetic pulse in a long two-level amplifier”, Theoret. and Math. Phys., 69:1 (1986), 987–997
41.
A. A. Kapaev, V. Yu. Novokshenov, “A two-parameter family of real solutions of the second Painlevé
equation”, Dokl. Akad. Nauk SSSR, 290:3 (1986), 590–594
1985
42.
V. Yu. Novokshenov, Differ. Uravn., 21:11 (1985), 1915–1926
43.
V. Yu. Novokshenov, “The asymptotic behavior of the general real solution of the third
Painlevé equation”, Dokl. Akad. Nauk SSSR, 283:5 (1985), 1161–1165
1984
44.
V. Yu. Novokshenov, “Method of isomonodromy deformations and asymptotics of the third Painlevé transcendent”, Funct. Anal. Appl., 18:3 (1984), 260–262
1985
45.
V. Yu. Novokshenov, “Asymptotics as $t\to\infty$ of the solution of the Cauchy problem for a two-dimensional generalization of the Toda lattice”, Math. USSR-Izv., 24:2 (1985), 347–382
1983
46.
D. N. Gainanov, V. Yu. Novokshenov, L. I. Tyagunov, “Graphs generated by inconsistent systems of linear inequalities”, Math. Notes, 33:2 (1983), 146–150
1982
47.
V. Yu. Novokshenov, “Asymptotic formulae for solutions of a system of non-linear Schrödinger equations”, Russian Math. Surveys, 37:2 (1982), 231–232
48.
V. Yu. Novokshenov, “The asymptotics as $t\to\infty$ of the solution to a two-dimensional generalization of the Toda lattice”, Dokl. Akad. Nauk SSSR, 265:6 (1982), 1320–1324
1981
49.
V. Yu. Novokshenov, I. T. Habibullin, “Nonlinear differential-difference schemes integrable by the method of the inverse scattering problem. Asymptotics of the solution
for $t\to\infty$”, Dokl. Akad. Nauk SSSR, 257:3 (1981), 543–547
50.
V. Yu. Novokshenov, Sh. K. Khannanov, “Kinetics of the development of an intercrystallite crack by means of diffusion mass transfer”, J. Appl. Mech. Tech. Phys., 22:3 (1981), 409–413
1980
51.
V. Yu. Novokshenov, “Convolution equations on a finite segment and factorization of elliptic matrices”, Math. Notes, 27:6 (1980), 449–455
52.
V. Yu. Novokshenov, “Asymptotic as $t\to\infty$ of the solution of the Cauchy problem for the nonlinear Schrödinger equation”, Dokl. Akad. Nauk SSSR, 251:4 (1980), 799–802
1978
53.
V. Yu. Novokshenov, “A singular integral equation with small parameter on a finite interval”, Math. USSR-Sb., 34:4 (1978), 475–502
1976
54.
V. Yu. Novokshenov, Differ. Uravn., 12:9 (1976), 1625–1637
55.
V. Yu. Novokshenov, “Asymptotic behavior of the solution of a singular integral equation with a small parameter”, Math. USSR-Sb., 29:3 (1976), 411–429
2024
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