| 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 | 191 | 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 | 182 | 2010 |
| 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 nonlinear population waves NK Vitanov, IP Jordanov, ZI Dimitrova Applied Mathematics and Computation 215 (8), 2950-2964, 2009 | 128 | 2009 |
| 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 | 113 | 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 | 108 | 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 | 106 | 2015 |
| Chaotic pairwise competition ZI Dimitrova, NK Vitanov Theoretical Population Biology 66 (1), 1-12, 2004 | 100 | 2004 |
| 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 | 86 | 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 |
| 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 | 80 | 2001 |
| Application of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg–de Vries equation and generalized Camassa–Holm equation NK Vitanov, ZI Dimitrova, H Kantz Applied Mathematics and Computation 219 (14), 7480-7492, 2013 | 78 | 2013 |
| Solitary wave solutions for nonlinear partial differential equations that contain monomials of odd and even grades with respect to participating derivatives NK Vitanov, ZI Dimitrova Applied Mathematics and Computation 247, 213-217, 2014 | 62 | 2014 |
| On the modified method of simplest equation and the nonlinear Schrödinger equation NK Vitanov, ZI Dimitrova arXiv preprint arXiv:1801.06843, 2018 | 58 | 2018 |
| On solitary wave solutions of a class of nonlinear partial differential equations based on the function 1/coshn (αx+ βt) NK Vitanov, ZI Dimitrova, TI Ivanova Applied Mathematics and Computation 315, 372-380, 2017 | 56 | 2017 |
| Simple equations method (SEsM): Algorithm, connection with Hirota method, inverse scattering transform method, and several other methods NK Vitanov, ZI Dimitrova, KN Vitanov Entropy 23 (1), 10, 2020 | 51 | 2020 |
| On the trap of extinction and its elimination NK Vitanov, ZI Dimitrova, H Kantz Physics Letters A 349 (5), 350-355, 2006 | 50 | 2006 |
| SSA, PCA, TDPSC, ACFA: Useful combination of methods for analysis of short and nonstationary time series NK Vitanov, K Sakai, ZI Dimitrova Chaos, Solitons & Fractals 37 (1), 187-202, 2008 | 49 | 2008 |
| On the structure, stress and optical properties of CVD tungsten oxide films Z Dimitrova, D Gogova Materials Research Bulletin 40 (2), 333-340, 2005 | 47 | 2005 |
