Journal Articles
Novikov, V and Wang, JP (2024) Integrability of Nonabelian Differential-Difference Equations: the Symmetry Approach,
Communications in Mathematical Physics, ISSN: 0010-3616.
Ferapontov, E,
Novikov, V, Roustemoglou, I (2024)
Higher-order reductions of the Mikhalev system,
Letters in Mathematical Physics, ISSN: 0377-9017.
Hone, ANW, Kodama, Y, Liu, QP, Lombardo, S,
Novikov, VS (2023)
Introduction to special feature dedicated to Prof. Allan Fordy on the occasion of his 70th birthday,
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 479(2276), ISSN: 1364-5021. DOI:
10.1098/rspa.2023.0473.
Mikhailov, A,
Novikov, V, Wang, JP (2022)
Perturbative symmetry approach for differential-difference equations,
Communications in Mathematical Physics, 393(2), pp.1063-1104, ISSN: 0010-3616. DOI:
10.1007/s00220-022-04383-0.
Gormley, B, Ferapontov, E,
Novikov, V, Pavlov, M (2022)
Integrable systems of the intermediate long wave type in 2+1 dimensions,
Physica D: Nonlinear Phenomena, 435, 133310, ISSN: 0167-2789. DOI:
10.1016/j.physd.2022.133310.
Berjawi, S, Ferapontov, E, Kruglikov, B,
Novikov, V (2021)
Second-order PDEs in 3D with Einstein-Weyl conformal structure,
Annales Henri Poincaré, 23(7), pp.2579-2609, ISSN: 1424-0637. DOI:
10.1007/s00023-021-01140-2.
Gormley, B, Ferapontov, E,
Novikov, V (2021)
On a class of integrable Hamiltonian equations in 2+1 dimensions,
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 477(2249), 20210047, ISSN: 1364-5021. DOI:
10.1098/rspa.2021.0047.
Ferapontov, E, Habibullin, I, Kuznetsova, M,
Novikov, V (2020)
On a class of 2D integrable lattice equations,
Journal of Mathematical Physics, 61(7), 073505, ISSN: 0022-2488. DOI:
10.1063/5.0013697.
Ferapontov, E, Kruglikov, B,
Novikov, V (2020)
Integrability of dispersionless Hirota-type equations and the symplectic Monge-Ampère property,
International Mathematics Research Notices, 2021(18), pp.14220-14251, ISSN: 1073-7928. DOI:
10.1093/imrn/rnaa025.
Berjawi, S, Ferapontov, E, Kruglikov, B,
Novikov, V (2020)
Second-order PDEs in four dimensions with half-flat conformal structure,
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 476(2233), 20190642, ISSN: 1364-5021. DOI:
10.1098/rspa.2019.0642.
Hay, M, Hone, ANW,
Novikov, VS, Wang, JP (2019)
Remarks on certain two-component systems with peakon solutions,
Journal of Geometric Mechanics, 11(4), pp.561-573, ISSN: 1941-4889. DOI:
10.3934/jgm.2019028.
Doubrov, B, Ferapontov, E, Kruglikov, B,
Novikov, V (2018)
On integrability in Grassmann geometries: integrable systems associated with fourfolds in Gr(3, 5),
Proceedings of the London Mathematical Society, 116(5), pp.1269-1300, ISSN: 0024-6115. DOI:
10.1112/plms.12114.
Doubrov, B, Ferapontov, E, Kruglikov, B,
Novikov, V (2018)
Integrable systems in four dimensions associated with six-folds in Gr(4, 6),
International Mathematics Research Notices, 2019(21), ISSN: 1073-7928.
Hone, ANW,
Novikov, V, Wang, JP (2017)
Generalizations of the short pulse equation,
Letters in Mathematical Physics, 108(4), pp.927-947, ISSN: 0377-9017. DOI:
10.1007/s11005-017-1022-3.
Hone, ANW,
Novikov, VS, Wang, JP (2017)
Two-component generalizations of the Camassa-Holm equation,
Nonlinearity, 30(2), pp.622-658, ISSN: 0951-7715. DOI:
10.1088/1361-6544/aa5490.
Doubrov, B, Ferapontov, E, Kruglikov, B,
Novikov, V (2017)
On a class of integrable systems of Monge-Ampere type,
Journal of Mathematical Physics, ISSN: 0022-2488. DOI:
10.1063/1.4984982.
Agafonov, SI, Ferapontov, E,
Novikov, V (2017)
Quasilinear systems with linearizable characteristic webs,
Journal of Mathematical Physics, 58, ISSN: 0022-2488. DOI:
10.1063/1.4994198.
Ferapontov, E,
Novikov, V, Roustemoglou, I (2014)
On the classification of discrete Hirota-type equations in 3D,
International Mathematics Research Notices, ISSN: 1687-3017. DOI:
10.1093/imrn/rnu086.
Huard, B and
Novikov, V (2013)
On classification of integrable Davey-Stewartson type equations,
Journal of Physics A: Mathematical and Theoretical, 46(27), ISSN: 1751-8113. DOI:
10.1088/1751-8113/46/27/275202.
Ferapontov, EV,
Novikov, VS, Roustemoglou, I (2013)
Towards the classification of integrable differential-difference equations in 2 + 1 dimensions,
Journal of Physics A: Mathematical and Theoretical, 46(24), ISSN: 1751-8113. DOI:
10.1088/1751-8113/46/24/245207.
Ferapontov, E,
Novikov, V, Roustemoglou, I (2013)
Towards the classification of integrable differential-difference equations in 2 + 1 dimensions,
Journal of Physics A: Math.Theor, ISSN: 1751-8113. DOI:
10.1088/1751-8113/46/24/245207.
Ferapontov, EV,
Novikov, VS, Stoilov, NM (2012)
Dispersive deformations of Hamiltonian systems of hydrodynamic type in 2+1 dimensions,
Physica D: Nonlinear Phenomena, 241(23-24), pp.2138-2144, ISSN: 0167-2789. DOI:
10.1016/j.physd.2011.12.004.
Novikov, VS and Ferapontov, EV (2011) On the classification of scalar evolutionary integrable equations in 2 + 1 dimensions,
Journal of Mathematical Physics, 52, Art.No. 023516.
Novikov, V (2009)
Generalizations of the Camassa-Holm equation,
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 42(34), ARTN 342002, ISSN: 1751-8113. DOI:
10.1088/1751-8113/42/34/342002.
Ferapontov, EV, Moro, A,
Novikov, V (2009) Integrable equations in 2+1 dimensions: deformation of dispersionless limits,
J. Phys. A: Math. Theor.,, 42, Art.No. 342005.
Hone, ANW,
Novikov, VS, Verhoven, C (2008) An extended Henon-Heiles system,
Physics Letters A, 372, pp.1440-1444.
Mikhailov, AV,
Novikov, V, Wang, JP (2007)
On classification of integrable non-evolutionary equaitons,
Studies in Applied Mathematics, 118(4), pp.419-457, ISSN: 0022-2526. DOI:
10.1111/j.1467-9590.2007.00376.x.
Novikov, VS and Wang, JP (2007)
Symmetry structure of integrable nonevolutionary equations,
Studies in Applied Mathematics, 119(4), pp.393-428, ISSN: 0022-2526. DOI:
10.1111/j.1467-9590.2007.00390.x.
Hone, ANW,
Novikov, V, Verhoeven, C (2006)
An integrable hierarchy with a perturbed Henon-Heiles system,
Inverse Problems, 22, pp.2001-2020, ISSN: 0266-5611. DOI:
10.1088/0266-5611/22/6/006.
Mikhailov, AV, Novikov, AS, Wang, JP (2005) Partially integrable nonlinear equations with one higher symmetry,
J. Phys A: Math. Gen.,, 38, pp.L337-341.
Hone, ANW and
Novikov, VS (2004)
On a functional equation related to the intermediate long wave equation,
Journal of Physics A: Mathematical and General, 37(32), pp.L399-L406, ISSN: 0305-4470. DOI:
10.1088/0305-4470/37/32/l02.
Hone, ANW and
Novikov, V (2004)
On a functional equation related to the intermediate long wave equation,
Journal of Physics A: Mathematical & General, 37, pp.L399-L406, ISSN: 1751-8113. DOI:
10.1088/305-4470/37/32/L02.
Mikhailov, AV and Novikov, AS (2003) Classification of integrable Benjamin-Ono type equations,
Moscow Mathematical Journal, 3(4), pp.1293-1305.
Mikhailov, AV and
Novikov, V (2002)
Perturbative symmetry approach,
Journal of Physics A: Mathematical & General, 35(22), pp.4775-4790, DOI:
10.1088/0305-4470/35/22/309.
Novikov, VS (2000)
Reflectionless potentials for the acoustic spectral problem,
Journal of Experimental and Theoretical Physics Letters, 72(3), pp.153-156, ISSN: 0021-3640. DOI:
10.1134/1.1316821.
Kulikov, MY and
Novikov, VS (2000)
Reduction of the dressing chain of the Schrödinger operator,
Theoretical and Mathematical Physics, 123(3), pp.768-775, ISSN: 0040-5779. DOI:
10.1007/bf02551031.
Yu Kulikov, M and
Novikov, VS (2000) On the reduction of the dressing chain of the Schrodinger operator,
Theor. Math. Phys, 123(3).
Novikov, VS (2000) Reflectionless potentials for the acoustic spectral problem,
JETP Letters, 72(2).
Novikov, VS (1998)
Equations invariant under differential substitutions,
Theoretical and Mathematical Physics, 116(2), pp.890-895, ISSN: 0040-5779. DOI:
10.1007/bf02557131.
Novikov, VS (1998) Equations invariant under autosubstitutions,
Theor. Math. Phys, 116(2).
