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.
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
2.
V. Yu. Novokshenov, “Padé approximations for Painlevé I and II transcendents”, Theoret. and Math. Phys., 159:3 (2009), 853–862
3.
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
4.
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
5.
V. Yu. Novokshenov, “The Boutroux ansatz for the second Painleve equation in the complex domain”, Math. USSR-Izv., 37:3 (1991), 587–609
6.
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
7.
V. Yu. Novokshenov, “Method of isomonodromy deformations and asymptotics of the third Painlevé transcendent”, Funct. Anal. Appl., 18:3 (1984), 260–262
8.
V. Yu. Novokshenov, “Convolution equations on a finite segment and factorization of elliptic matrices”, Math. Notes, 27:6 (1980), 449–455
9.
V. Yu. Novokshenov, “Tronquée solutions of the Painlevé II equation”, Theoret. and Math. Phys., 172:2 (2012), 1136–1146
10.
V. Yu. Novokshenov, “Poles of tritronquée solution to the Painlevé I equation and cubic anharmonic oscillator”, Regul. Chaotic Dyn., 15:2 (2010), 390–403
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
12.
V. Yu. Novokshenov, “A singular integral equation with small parameter on a finite interval”, Math. USSR-Sb., 34:4 (1978), 475–502
13.
V. Yu. Novokshenov, A. A. Schelkonogov, “Distribution of zeroes to generalized Hermite polynomials”, Ufa Math. Journal, 7:3 (2015), 54–66
14.
JETP Letters, 73:5 (2001), 250–254
15.
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
16.
D. N. Gainanov, V. Yu. Novokshenov, L. I. Tyagunov, “Graphs generated by inconsistent systems of linear inequalities”, Math. Notes, 33:2 (1983), 146–150
17.
V. Yu. Novokshenov, “Asymptotic Solutions of the Discrete Painlevé Equation of Second Type”, Math. Notes, 112:4 (2022), 598–607
18.
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)
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
20.
V. Yu. Novokshenov, Differ. Uravn., 21:11 (1985), 1915–1926
21.
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
22.
Victor Yu. Novokshenov, “Generalized Hermite Polynomials and Monodromy-Free Schrödinger Operators”, SIGMA, 14 (2018), 106 , 13 pp., arXiv: 1803.06819
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
24.
V. Yu. Novokshenov, A. G. Shagalov, “Bound states of the elliptic sine-Gordon equation”, Theoret. and Math. Phys., 111:1 (1997), 405–418
25.
V. Yu. Novokshenov, “Whitham Deformations of Top-Like Integrable Dynamical Systems”, Funct. Anal. Appl., 27:2 (1993), 118–127
26.
V. Yu. Novokshenov, “Reflectionless potentials and soliton series of the KDV equation”, Theoret. and Math. Phys., 93:2 (1992), 1279–1291
27.
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
28.
V. Yu. Novokshenov, “Asymptotic formulae for solutions of a system of non-linear Schrödinger equations”, Russian Math. Surveys, 37:2 (1982), 231–232
29.
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
30.
A. I. Aptekarev, V. Yu. Novokshenov, “Asymptotics of solutions of the discrete Painlevé I equation”, Math. Notes, 116:6 (2024), 1170–1182
31.
V.Yu.Novokshenov, “Localization in the Liouville Lattice and Movable Discrete Breathers”, Lobachevskii Journal of Mathematics, 42:6 (2021), 1210-1218
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
33.
V. Yu. Novokshenov, “Discrete integrable equations and special functions”, Ufa Math. Journal, 9:3 (2017), 118–130
34.
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
35.
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
36.
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
37.
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
38.
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
39.
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)
40.
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
41.
O. M. Kiselev, V. Yu. Novokshenov, “Avtorezonans v modeli generatora teragertsevykh voln”, Trudy Instituta matematiki i mekhaniki UrO RAN, 2016, xx–xx (to appear)
42.
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
45.
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
46.
V. Yu. Novokshenov, Differ. Uravn., 12:9 (1976), 1625–1637
47.
A. I. Aptekarev, V. Yu. Novokshenov, Izv. RAN. Ser. Mat.
48.
V. Yu. Novokshenov, “Distribution of poles of real solutions of the third Painlevé equation $P_{\mathrm{III}}^{(6)}$”, Sb. Math., 216:8 (2025), 1162–1177
49.
V. Yu. Novokshenov, “Discrete Riemann-Hilbert problem and interpolation of entire functions”, Ufa Math. J., 13:2 (2021), 70–80
50.
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
51.
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
52.
V. Yu. Novokshenov, “Zero-Dispersion Limit to the Korteweg-de Vries Equation: a Dressing Chain Approach”, Regul. Chaotic Dyn., 13:5 (2008), 424–430
53.
V. Yu. Novokshenov, “Adiabatic deformations of integrable two-frequency Hamiltonians”, Regul. Chaotic Dyn., 11:2 (2006), 299–310
54.
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
55.
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
56.
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
57.
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
58.
D. I. Borisov, A. R. Danilin, V. Yu. Novokshenov, “Tribute to Arlen Mikhailovich Il'in”, Sb. Math., 216:8 (2025), 1019–1020
