Nikolay K Vitanov - Google Scholar

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Zlatinka I DimitrovaAssociated professor, Institute of Solid State Physics, Bulgarian Academy of SciencesVerified email at issp.bas.bg
ivan jordanovUniversity of National and World Economy, Sofia, BulgariaVerified email at email.bg
Ausloos, MarcelUniv. of Leicester & Bucharest Univ. of Economic Studies; ex. Univ. LiegeVerified email at ulg.ac.be
Elena NikolovaInstitute of Mechanics, BASVerified email at imbm.bas.bg
Norbert HoffmannHamburg University of Technology, Imperial College LondonVerified email at tuhh.de
Kenshi SakaiProfessor, Tokyo University of Agriculture and TechnologyVerified email at cc.tuat.ac.jp
BusseVerified email at uni-bayreuth.de
Tsvetelina I IvanovaPhysicist, Institute of MechanicsVerified email at imbm.bas.bg
Evgeni IvanovInstitute of Mechanics, Bulgarian Academy of SciencesVerified email at imbm.bas.bg
Shunsuke ManagiDistinguished Professor & Director of Urban Institute, Kyushu UniversityVerified email at doc.kyushu-u.ac.jp
Steven M. BokerProfessor of Quantitative Psychology, University of VirginiaVerified email at virginia.edu
Kathy Targowski AshenfelterDeloitteVerified email at deloitte.com
Amin ChabchoubThe University of SydneyVerified email at sydney.edu.au
Tatiana SpassovaNational Institute of Meteorology and HydrologyVerified email at meteo.bg
Adam GadomskiProfessor of Physics, University of Technology and Life Sciences, BydgoszczVerified email at utp.edu.pl
Rumiana KotsilkovaFull Professor at Institute of Mechanics, Bulgarian Academy of SciencesVerified email at imbm.bas.bg
Giulia RotundoProfessor of Applied MathematicsVerified email at uniroma1.it
Simeon D. StoyanovSenior scientist Unilever R&D, NL; (visiting) professor at Uni Wageningen, NL, UCL, UK and NCSU, USAVerified email at unilever.com
Krasimir DanovFull Professor, Sofia University, Faculty of Chemistry and PharmacyVerified email at lcpe.uni-sofia.bg
Ivan Boyanov IvanovProfessor of Physical Chemistry, University of SofiaVerified email at lcpe.uni-sofia.bg

Nikolay K Vitanov

Professor of Mathematics, Institute of Mechanics, Bulgarian Academy of Sciences, COSTNET CA15109

Verified email at imbm.bas.bg

nonlinear PDEs nonlinear time series analysis nonlinear fluid dynamics social dynamics mathematical economics


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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	188	2010
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	128	2011
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	128	2010
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	125	2010
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	125	2004
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	88	2009
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	81	2009
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	78	2011
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	77	2001
On nonlinear population waves NK Vitanov, IP Jordanov, ZI Dimitrova Applied Mathematics and Computation 215 (8), 2950-2964, 2009	76	2009
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	76	2000
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	72	2010
Knowledge epidemics and population dynamics models for describing idea diffusion NK Vitanov, MR Ausloos Models of science dynamics, 69-125, 2012	69	2012
Chaotic pairwise competition ZI Dimitrova, NK Vitanov Theoretical Population Biology 66 (1), 1-12, 2004	65	2004
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	60	1994
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	58	2001
Analytical and numerical investigation of two families of Lorenz-like dynamical systems S Panchev, T Spassova, NK Vitanov Chaos, Solitons & Fractals 33 (5), 1658-1671, 2007	56	2007
Bounds on the heat transport in a horizontal fluid layer with stress-free boundaries NK Vitanov, FH Busse Zeitschrift für angewandte Mathematik und Physik ZAMP 48 (2), 310-324, 1997	52	1997
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	51	1992
Science dynamics and research production NK Vitanov, Vitanov, N Vitanov Springer, 2016	50	2016

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