Discrete analogues of the Liouville equation VE Adler, SY Startsev Theoretical and Mathematical Physics 121 (2), 1484-1495, 1999 | 119* | 1999 |
Integrals, solutions, and existence problems for Laplace transformations of linear hyperbolic systems AV Zhiber, SY Startsev Mathematical Notes 74 (5), 803-811, 2003 | 53* | 2003 |
On nonlinear Darboux-integrable hyperbolic equations AV Zhiber, VV Sokolov, SY Startsev Dokl. Ross. Akad. Nauk 343, 746-748, 1995 | 41* | 1995 |
Differential substitutions of the Miura transformation type SY Startsev Theoretical and mathematical physics 116 (3), 1001-1010, 1998 | 33* | 1998 |
On construction of symmetries from integrals of hyperbolic partial differential systems DK Demskoi, SY Startsev Journal of Mathematical Sciences 136 (6), 4378-4384, 2006 | 31* | 2006 |
Cascade method of laplace integration for linear hyperbolic systems of equations SY Startsev Mathematical Notes 83 (1), 97-106, 2008 | 30* | 2008 |
Symmetries of nonlinear hyperbolic systems of the Toda chain type VV Sokolov, SY Startsev Theoretical and Mathematical Physics 155 (2), 802-811, 2008 | 26* | 2008 |
On non-point invertible transformations of difference and differential-difference equations SY Startsev SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6, 092, 2010 | 21 | 2010 |
Laplace invariants of hyperbolic equations linearizable by a differential substitution SY Startsev Theoretical and mathematical physics 120 (2), 1009-1018, 1999 | 18* | 1999 |
Hyperbolic equations admitting differential substitutions SY Startsev Theoretical and Mathematical Physics 127 (1), 460-470, 2001 | 15* | 2001 |
On the variational integrating matrix for hyperbolic systems SY Startsev Journal of Mathematical Sciences 151 (4), 3245-3253, 2008 | 12* | 2008 |
Darboux integrable discrete equations possessing an autonomous first-order integral SY Startsev Journal of Physics A: Mathematical and Theoretical 47 (10), 105204, 2014 | 11 | 2014 |
Relationships between symmetries depending on arbitrary functions and integrals of discrete equations SY Startsev Journal of Physics A: Mathematical and Theoretical 50 (50), 50LT01, 2017 | 7 | 2017 |
Non-Point Invertible Transformations and Integrability of Partial Difference Equations SY Startsev SIGMA 10 (66), 13, 2014 | 7 | 2014 |
Darboux integrable differential-difference equations admitting a firts-order integral SY Startsev Ufimskii Matematicheskii Zhurnal 4 (3), 161-176, 2012 | 7* | 2012 |
On Laplace invariants of the systems of hyperbolic equations SY Startsev Complex Analysis, Differential Equations, Numerical Methods, and …, 1996 | 5 | 1996 |
Formal integrals and Noether operators of nonlinear hyperbolic partial differential systems admitting a rich set of symmetries SY Startsev SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 13, 034, 2017 | 4 | 2017 |
Necessary conditions of Darboux integrability for differential-difference equations of a special kind SY Startsev Ufimskii Matematicheskii Zhurnal 3 (1), 80-84, 2011 | 4* | 2011 |
Нелинейные гиперболические системы уравнений лиувиллевского типа АВ Жибер, ВВ Соколов, СЯ Старцев Международная конференция" Тихонов и современная математика": тезисы …, 2006 | 4 | 2006 |
On Darboux non-integrability of the Hietarinta equation SY Startsev arXiv preprint arXiv:2211.02079, 2022 | 3 | 2022 |