EXPLICIT FORMULAS FOR SOLUTIONS OF SCHRODINGER NONLINEAR EQUATION AR Its, VP KOTLJAROV DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA …, 1976 | 238* | 1976 |
ALMOST PERIODICAL SOLUTIONS OF EQUATION UTT-UXX+ SIN U= O VA Kozel, VP KOTRJAROV DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA …, 1976 | 110* | 1976 |
Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line AB de Monvel, A Its, V Kotlyarov Communications in Mathematical Physics 290 (2), 479-522, 2009 | 97 | 2009 |
Focusing NLS equation: long-time dynamics of step-like initial data AB De Monvel, VP Kotlyarov, D Shepelsky International Mathematics Research Notices 2011 (7), 1613-1653, 2011 | 70 | 2011 |
Long-time asymptotics for the Korteweg-de Vries equation with steplike initial data I Egorova, Z Gladka, V Kotlyarov, G Teschl arXiv preprint arXiv:1210.7434, 2012 | 69 | 2012 |
On equations gauge equivalent to the sine-Gordon and Pohlmeyer-Lund-Regge equations VP Kotlyarov Journal of the Physical Society of Japan 63 (10), 3535-3537, 1994 | 66 | 1994 |
Riemann–Hilbert problem to the modified Korteveg–de Vries equation: long-time dynamics of the steplike initial data V Kotlyarov, A Minakov Journal of mathematical physics 51 (9), 2010 | 59 | 2010 |
Scattering problem for the Zakharov-Shabat equations on the semi-axis AB de Monvel, V Kotlyarov Inverse Problems 16 (6), 1813, 2000 | 48 | 2000 |
Soliton asymptotics of nondecreasing solutions of nonlinear completely integrable evolution equations EY Khruslov, VP Kotlyarov Advances in Soviet Mathematics 19, 129-181, 1994 | 45 | 1994 |
A limit boundary condition for a Neumann problem(Neumann boundary value problem for region D Helmholtz equation, considering parameter dependence) EIA KHRUSLOV, VP KOTLIAROV TEORIIA FUNKTSII, FUNKTSIONAL'NYI ANALIZ I IKH PRILOZHENIIA, 83-96, 1970 | 41* | 1970 |
Явные формулы для решений нелинейного уравнения Шредингера АP Итс, ВП Котляров Докл. АН УССР.—1976.-N П, 965, 1976 | 40 | 1976 |
Decaying long-time asymptotics for the focusing NLS equation with periodic boundary condition AB De Monvel, V Kotlyarov, D Shepelsky International Mathematics Research Notices 2009 (3), 547-577, 2009 | 37 | 2009 |
The focusing nonlinear Schrödinger equation on the quarter plane with time-periodic boundary condition: a Riemann–Hilbert approach AB De Monvel, V Kotlyarov Journal of the Institute of Mathematics of Jussieu 6 (4), 579-611, 2007 | 37 | 2007 |
Periodic problem for the nonlinear Schrödinger equation V Kotlyarov, A Its arXiv preprint arXiv:1401.4445, 2014 | 35* | 2014 |
Solitons of the nonlinear Schrödinger equation generated by the continuum VP Kotlyarov, EY Khruslov Teoreticheskaya i Matematicheskaya Fizika 68 (2), 172-186, 1986 | 35 | 1986 |
Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition AB de Monvel, A Its, V Kotlyarov Comptes Rendus. Mathématique 345 (11), 615-620, 2007 | 33 | 2007 |
Generation of asymptotic solitons of the nonlinear Schrödinger equation by boundary data A Boutet de Monvel, V Kotlyarov Journal of Mathematical Physics 44 (8), 3185-3215, 2003 | 30 | 2003 |
Planar unimodular Baker–Akhiezer function for the nonlinear Schrödinger equation V Kotlyarov, D Shepelsky Annals of Mathematical Sciences and Applications 2, 343-384, 2017 | 28 | 2017 |
Initial boundary value problems for integrable systems: towards the long time asymptotics AB De Monvel, VP Kotlyarov, D Shepelsky, C Zheng Nonlinearity 23 (10), 2483, 2010 | 28 | 2010 |
Curved asymptotic solitons of the Kadomtsev–Petviashvili equation IA Anders, EY Khruslov, VP Kotlyarov Proc. of the 8th International Workshop of Nonlinear Evolution Equations and …, 1993 | 26 | 1993 |