Nikolay K Vitanov

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Zlatinka I DimitrovaFull Professor, Institute of Mechanics, Bulgarian Academy of SciencesVerified email at imbm.bas.bg
ivan jordanovInstitute of Mechanics, Bulgarian Academy of Sciences, Sofia, BulgariaVerified email at email.bg
Elena NikolovaInstitute of Mechanics, BASVerified email at imbm.bas.bg
Ausloos, MarcelUniversity of Leicester ; Bucharest University of Economic Studies; ex. Universite de LiegeVerified email at leicester.ac.uk
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
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
Amin ChabchoubKyoto University and The University of MelbourneVerified email at kyoto-u.ac.jp
Steven M. BokerProfessor of Quantitative Psychology, University of VirginiaVerified email at virginia.edu
Adam GadomskiProfessor of Physics, Bydgoszcz University of Science and TechnologyVerified email at utp.edu.pl
Giulia RotundoProfessor of Applied MathematicsVerified email at uniroma1.it
Rumiana KotsilkovaFull Professor at Institute of Mechanics, Bulgarian Academy of SciencesVerified email at imbm.bas.bg
Thomas BoeckTU IlmenauVerified email at tu-ilmenau.de
Tatiana SpassovaNational Institute of Meteorology and HydrologyVerified email at meteo.bg
CLOOTSProfesseur de Chimie, Université de LiègeVerified email at ulg.ac.be
Simeon D. StoyanovProfessor at Singapore Institute of Technology, SG; (visiting) professor at Uni Wageningen, NL, UCLVerified email at singaporetech.edu.sg
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	269	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	203	2011
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	187	2010
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	178	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	162	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	140	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	131	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	130	2011
On nonlinear population waves NK Vitanov, IP Jordanov, ZI Dimitrova Applied Mathematics and Computation 215 (8), 2950-2964, 2009	127	2009
Science dynamics and research production NK Vitanov, Vitanov, N Vitanov Springer, 2016	117	2016
Knowledge epidemics and population dynamics models for describing idea diffusion NK Vitanov, MR Ausloos Models of science dynamics: Encounters between complexity theory and …, 2011	116	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	112	2010
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	108	2001
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	107	2000
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	104	2015
Chaotic pairwise competition ZI Dimitrova, NK Vitanov Theoretical Population Biology 66 (1), 1-12, 2004	100	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	89	1994
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	89	1992
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	85	2011
Traveling waves and statistical distributions connected to systems of interacting populations NK Vitanov, ZI Dimitrova, KN Vitanov Computers & Mathematics with Applications 66 (9), 1666-1684, 2013	83	2013

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