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 IvanovaVKI, VUB, IMech-BASVerified email at vki.ac.be
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
Amin ChabchoubKyoto University and The University of SydneyVerified email at kyoto-u.ac.jp
Rumiana KotsilkovaFull Professor at Institute of Mechanics, Bulgarian Academy of SciencesVerified email at imbm.bas.bg
Adam GadomskiProfessor of Physics, Bydgoszcz University of Science and TechnologyVerified email at utp.edu.pl
Tatiana SpassovaNational Institute of Meteorology and HydrologyVerified email at meteo.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
Simeon D. StoyanovSenior scientist Unilever R&D, NL; (visiting) professor at Uni Wageningen, NL, UCL, UK and NCSU, USAVerified email at unilever.com

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	227	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	167	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	156	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	151	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	148	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	118	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	111	2009
On nonlinear population waves NK Vitanov, IP Jordanov, ZI Dimitrova Applied Mathematics and Computation 215 (8), 2950-2964, 2009	105	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	104	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	101	2010
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	98	2000
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	96	2001
Knowledge epidemics and population dynamics models for describing idea diffusion NK Vitanov, MR Ausloos Models of science dynamics, 69-125, 2012	92	2012
Chaotic pairwise competition ZI Dimitrova, NK Vitanov Theoretical Population Biology 66 (1), 1-12, 2004	87	2004
Science dynamics and research production NK Vitanov, Vitanov, N Vitanov Springer, 2016	86	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	79	2015
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	73	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	71	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	69	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	67	2011

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