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 | 115 | 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 |