The non-local delta problem and (2+ 1)-dimensional soliton equations LV Bogdanov, SV Manakov Journal of Physics A: Mathematical and General 21 (10), L537, 1988 | 152 | 1988 |
Veselov-Novikov equation as a natural two-dimensional generalization of the Korteweg-de Vries equation LV Bogdanov Theoretical and Mathematical Physics 70 (2), 219-223, 1987 | 101 | 1987 |
The Boussinesq equation revisited LV Bogdanov, VE Zakharov Physica D: Nonlinear Phenomena 165 (3-4), 137-162, 2002 | 95 | 2002 |
Lattice and q-difference Darboux-Zakharov-Manakov systems via delta-dressing method LV Bogdanov, BG Konopelchenko Journal of Physics A: Mathematical and General 28 (5), L173, 1999 | 89 | 1999 |
Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies LV Bogdanov, BG Konopelchenko Journal of Mathematical Physics 39, 4701, 1998 | 87 | 1998 |
Dunajski generalization of the second heavenly equation: dressing method and the hierarchy LV Bogdanov, VS Dryuma, SV Manakov Journal of Physics A: Mathematical and Theoretical 40 (48), 14383, 2007 | 60 | 2007 |
Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type LV Bogdanov, BG Konopelchenko Physics Letters A 330 (6), 448-459, 2004 | 45 | 2004 |
Analytic-bilinear approach to integrable hierarchies. I. Generalized KP hierarchy LV Bogdanov, BG Konopelchenko Journal of Mathematical Physics 39 (9), 4683-4700, 1998 | 44 | 1998 |
On the dbar-dressing method applicable to heavenly equation LV Bogdanov, BG Konopelchenko Physics Letters A 345 (1), 137-143, 2005 | 39 | 2005 |
On dispersionless BKP hierarchy and its reductions LV Bogdanov, BG Konopelchenko Journal of Nonlinear Mathematical Physics 12 (Suppl 1), 64-73, 2005 | 32 | 2005 |
Linearly degenerate hierarchies of quasiclassical SDYM type LV Bogdanov, MV Pavlov Journal of Mathematical Physics 58 (9), 2017 | 31 | 2017 |
On the heavenly equation hierarchy and its reductions LV Bogdanov, BG Konopelchenko Journal of Physics A: Mathematical and General 39 (38), 11793, 2006 | 23 | 2006 |
Two-dimensional Zakharov-Shabat problem LV Bogdanov Theor. Math. Phys.;(United States) 72 (1), 1988 | 23 | 1988 |
Interpolating differential reductions of multidimensional integrable hierarchies LV Bogdanov Theoretical and Mathematical Physics 167, 705-713, 2011 | 21 | 2011 |
Semiclassical-Method: Generating Equations for Dispersionless Integrable Hierarchies LV Bogdanov, BG Konopelchenko, L Martinez Alonso Theoretical and mathematical physics 134 (1), 39-46, 2003 | 21 | 2003 |
Grassmannians Gr (N− 1, N+ 1), closed differential N− 1-forms and N-dimensional integrable systems LV Bogdanov, BG Konopelchenko Journal of Physics A: Mathematical and Theoretical 46 (8), 085201, 2013 | 20* | 2013 |
Non-Hamiltonian generalizations of the dispersionless 2DTL hierarchy LV Bogdanov Journal of Physics A: Mathematical and Theoretical 43 (43), 434008, 2010 | 19 | 2010 |
A class of multidimensional integrable hierarchies and their reductions LV Bogdanov Theoretical and Mathematical Physics 160, 887-893, 2009 | 19 | 2009 |
Analytic-Bilinear Approach to Integrable Hierarchies LV Bogdanov Springer Science & Business Media, 2012 | 18 | 2012 |
On a class of reductions of the Manakov–Santini hierarchy connected with the interpolating system LV Bogdanov Journal of Physics A: Mathematical and Theoretical 43 (11), 115206, 2010 | 16 | 2010 |