Nikolay K Vitanov

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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
Elena NikolovaInstitute of Mechanics, BASVerified email at imbm.bas.bg
Ausloos, MarcelUniv. of Leicester & Bucharest Univ. of Economic Studies; ex. Univ. LiegeVerified email at ulg.ac.be
Norbert HoffmannHamburg University of Technology, Imperial College LondonVerified email at tuhh.de
Tsvetelina I IvanovaPhysicist, Institute of MechanicsVerified email at imbm.bas.bg
Kenshi SakaiProfessor, Tokyo University of Agriculture and TechnologyVerified email at cc.tuat.ac.jp
BusseVerified email at uni-bayreuth.de
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
Adam GadomskiProfessor of Physics, University of Technology and Life Sciences, BydgoszczVerified email at utp.edu.pl
Tatiana SpassovaNational Institute of Meteorology and HydrologyVerified email at meteo.bg
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
Thomas BoeckTU IlmenauVerified email at tu-ilmenau.de
Nikolay StoimenovPhD at Institute of Information and Communication Technologies, Bulgarian Academy of SciencesVerified email at iinf.bas.bg
Stanislav GyoshevIICT BASVerified email at iinf.bas.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	197	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	134	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	131	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	131	2004
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	130	2010
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	97	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	89	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	85	2000
On nonlinear population waves NK Vitanov, IP Jordanov, ZI Dimitrova Applied Mathematics and Computation 215 (8), 2950-2964, 2009	84	2009
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	84	2001
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	82	2011
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	80	2010
Chaotic pairwise competition ZI Dimitrova, NK Vitanov Theoretical Population Biology 66 (1), 1-12, 2004	74	2004
Knowledge epidemics and population dynamics models for describing idea diffusion NK Vitanov, MR Ausloos Models of science dynamics, 69-125, 2012	72	2012
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	66	2001
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	62	1994
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	57	2007
Science dynamics and research production NK Vitanov, Vitanov, N Vitanov Springer, 2016	56	2016
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	54	2015
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	54	1992

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