Local well-posedness and orbital stability of solitary wave solutions for the generalized Camassa–Holm equation S Hakkaev, K Kirchev Communications in partial differential equations 30 (5-6), 761-781, 2005 | 75 | 2005 |
On the Cauchy problem for the periodic b-family of equations and of the non-uniform continuity of Degasperis–Procesi equation O Christov, S Hakkaev Journal of Mathematical Analysis and Applications 360 (1), 47-56, 2009 | 44 | 2009 |
Stability of periodic travelling shallow-water waves determined by Newton's equation S Hakkaev, ID Iliev, K Kirchev Journal of Physics A: Mathematical and Theoretical 41 (8), 085203, 2008 | 39 | 2008 |
On the well-posedness and stability of peakons for a generalized Camassa-Holm equation S Hakkaev, K Kirchev Int. J. Nonlinear Sci 1 (3), 139-148, 2006 | 33 | 2006 |
Stability of periodic traveling waves for complex modified Korteweg–de Vries equation S Hakkaev, ID Iliev, K Kirchev Journal of Differential Equations 248 (10), 2608-2627, 2010 | 32 | 2010 |
Stability of peakons for an integrable shallow water equation S Hakkaev Physics Letters A 354 (1-2), 137-144, 2006 | 23 | 2006 |
Linear stability analysis for periodic travelling waves of the Boussinesq equation and the Klein–Gordon–Zakharov system S Hakkaev, M Stanislavova, A Stefanov Proceedings of the Royal Society of Edinburgh Section A: Mathematics 144 (3 …, 2014 | 22 | 2014 |
Transverse instability for periodic waves of KP-I and Schrödinger equations S Hakkaev, M Stanislavova, A Stefanov Indiana University Mathematics Journal, 461-492, 2012 | 18 | 2012 |
On the inverse scattering approach and action-angle variables for the Dullin–Gottwald–Holm equation O Christov, S Hakkaev Physica D: Nonlinear Phenomena 238 (1), 9-19, 2009 | 15 | 2009 |
On the Generation of Stable Kerr Frequency Combs in the Lugiato--Lefever Model of Periodic Optical Waveguides S Hakkaev, M Stanislavova, AG Stefanov SIAM Journal on Applied Mathematics 79 (2), 477-505, 2019 | 14 | 2019 |
Ill-posedness for periodic nonlinear dispersive equations JA Pava, S Hakkaev Electronic Journal of Differential Equations 2010 (119), 1-19, 2010 | 14 | 2010 |
Spectral stability for classical periodic waves of the Ostrovsky and short pulse models S Hakkaev, M Stanislavova, A Stefanov Studies in Applied Mathematics 139 (3), 405-433, 2017 | 13 | 2017 |
Periodic traveling waves of the regularized short pulse and Ostrovsky equations: existence and stability S Hakkaev, M Stanislavova, A Stefanov SIAM Journal on Mathematical Analysis 49 (1), 674-698, 2017 | 12 | 2017 |
Spectral Stability for Subsonic Traveling Pulses of the Boussinesq “abc" System S Hakkaev, M Stanislavova, A Stefanov SIAM Journal on Applied Dynamical Systems 12 (2), 878-898, 2013 | 10 | 2013 |
Non-uniform continuity of periodic Holm–Staley b-family of equations O Christov, S Hakkaev, ID Iliev Nonlinear Analysis: Theory, Methods & Applications 75 (13), 4821-4838, 2012 | 10 | 2012 |
Stability of periodic waves for the fractional KdV and NLS equations S Hakkaev, AG Stefanov Proceedings of the Royal Society of Edinburgh Section A: Mathematics 151 (4 …, 2021 | 8 | 2021 |
Convergence analysis of some iterative methods for a nonlinear matrix equation VI Hasanov, SA Hakkaev Computers & Mathematics with Applications 72 (4), 1164-1176, 2016 | 8 | 2016 |
On the spectral stability of periodic waves of the Klein-Gordon equation A Demirkaya, S Hakkaev, M Stanislavova, A Stefanov | 7 | 2015 |
Newton’s method for a nonlinear matrix equation V Hasanov, S Hakkaev Comptes rendus de l’Académie bulgare des Sciences 68 (8), 2015 | 7 | 2015 |
Stability and instability of solitary wave solutions of a nonlinear dispersive system of Benjamin-Bona-Mahony type S Hakkaev Serdica Mathematical Journal 29 (4), 337p-354p, 2003 | 7 | 2003 |