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Nikolay K Vitanov
Nikolay K Vitanov
Professor of Mathematics, Institute of Mechanics, Bulgarian Academy of Sciences, COSTNET CA15109
Verified email at imbm.bas.bg
Title
Cited by
Cited by
Year
Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity
NK Vitanov
Communications in Nonlinear Science and Numerical Simulation 15 (8), 2050-2060, 2010
2272010
Modified method of simplest equation: powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs
NK Vitanov
Communications in Nonlinear Science and Numerical Simulation 16 (3), 1176-1185, 2011
1672011
Modified method of simplest equation and its application to nonlinear PDEs
NK Vitanov, ZI Dimitrova, H Kantz
Applied Mathematics and Computation 216 (9), 2587-2595, 2010
1562010
Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics
NK Vitanov, ZI Dimitrova
Communications in Nonlinear Science and Numerical Simulation 15 (10), 2836-2845, 2010
1512010
Markov chain model for turbulent wind speed data
H Kantz, D Holstein, M Ragwitz, NK Vitanov
Physica A: Statistical Mechanics and its Applications 342 (1-2), 315-321, 2004
1482004
Spatiotemporal symmetry and multifractal structure of head movements during dyadic conversation.
KT Ashenfelter, SM Boker, JR Waddell, N Vitanov
Journal of Experimental Psychology: Human Perception and Performance 35 (4 …, 2009
1182009
On nonlinear dynamics of interacting populations: Coupled kink waves in a system of two populations
NK Vitanov, IP Jordanov, ZI Dimitrova
Communications in Nonlinear Science and Numerical Simulation 14 (5), 2379-2388, 2009
1112009
On nonlinear population waves
NK Vitanov, IP Jordanov, ZI Dimitrova
Applied Mathematics and Computation 215 (8), 2950-2964, 2009
1052009
On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: the role of the simplest equation
NK Vitanov
Communications in Nonlinear Science and Numerical Simulation 16 (11), 4215-4231, 2011
1042011
Verhulst–Lotka–Volterra (VLV) model of ideological struggle
NK Vitanov, ZI Dimitrova, M Ausloos
Physica A: Statistical Mechanics and its Applications 389 (21), 4970-4980, 2010
1012010
Influence of adaptation on the nonlinear dynamics of a system of competing populations
ZI Dimitrova, NK Vitanov
Physics Letters A 272 (5-6), 368-380, 2000
982000
Adaptation and its impact on the dynamics of a system of three competing populations
ZI Dimitrova, NK Vitanov
Physica A: Statistical Mechanics and its Applications 300 (1-2), 91-115, 2001
962001
Knowledge epidemics and population dynamics models for describing idea diffusion
NK Vitanov, MR Ausloos
Models of science dynamics, 69-125, 2012
922012
Chaotic pairwise competition
ZI Dimitrova, NK Vitanov
Theoretical Population Biology 66 (1), 1-12, 2004
872004
Science dynamics and research production
NK Vitanov, Vitanov, N Vitanov
Springer, 2016
862016
Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications
NK Vitanov, ZI Dimitrova, KN Vitanov
Applied Mathematics and Computation 269, 363-378, 2015
792015
Dynamical consequences of adaptation of the growth rates in a system of three competing populations
ZI Dimitrova, NK Vitanov
Journal of Physics A: Mathematical and General 34 (37), 7459, 2001
732001
New class of running-wave solutions of the (2+ 1)-dimensional sine-Gordon equation
NK Martinov, NK Vitanov
Journal of Physics A: Mathematical and General 27 (13), 4611, 1994
711994
On some solutions of the two-dimensional sine-Gordon equation
N Martinov, N Vitanov
Journal of Physics A: Mathematical and General 25 (8), L419, 1992
691992
On the class of nonlinear PDEs that can be treated by the modified method of simplest equation. Application to generalized Degasperis–Processi equation and b-equation
NK Vitanov, ZI Dimitrova, KN Vitanov
Communications in Nonlinear Science and Numerical Simulation 16 (8), 3033-3044, 2011
672011
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