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- Nikolay K. Vitanov, Zlatinka I. Dimitrova, Holger Kantz
- Applied Mathematics and Computation
- 2010

- Nikolay K. Vitanov, Ivan P. Jordanov, Zlatinka I. Dimitrova
- Applied Mathematics and Computation
- 2009

We discuss a model system of partial differential equations for description of the spatiotemporal dynamics of interacting populations. We are interested in the waves caused by migration of theâ€¦ (More)

- Nikolay K. Vitanov, Zlatinka I. Dimitrova, Holger Kantz
- Applied Mathematics and Computation
- 2013

The modified method of simplest equation is applied to the extended Korteweg de Vries equation and to generalized Camassa Holm equation. Exact traveling wave solutions of these two nonlinear partialâ€¦ (More)

Let the population of e.g. a country where some opinion struggle occurs be varying in time, according to Verhulst equation. Consider next some competition between opinions such as the dynamics beâ€¦ (More)

- Nikolay K. Vitanov, Zlatinka I. Dimitrova
- Applied Mathematics and Computation
- 2014

We apply the method of simplest equation for obtaining exact solitary travelingwave solutions of nonlinear partial differential equations that contain monomials of odd and even grade with respect toâ€¦ (More)

- Thomas Boeck, Nikolay K. Vitanov
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

Three-dimensional surface-tension-driven BÃ©nard convection at zero Prandtl number is computed in the smallest possible doubly periodic rectangular domain that is compatible with the hexagonal flowâ€¦ (More)

- Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
- Applied Mathematics and Computation
- 2015

We discuss the application of a variant of the method of simplest equation for obtaining exact traveling wave solutions of a class of nonlinear partial differential equations containing polynomialâ€¦ (More)

- Marcel Ausloos, Rudi Cloots, Adam Gadomski, Nikolay K. Vitanov
- ArXiv
- 2014

Ranking of agents competing with each other in complex systems may lead to paradoxes according to the pre-chosen different measures. A discussion is presented on such rank-rank, similar or not,â€¦ (More)

- Nikolay K. Vitanov, Friedrich H. Busse
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

Previous bounds on the convective heat transport in a horizontal layer heated from below and rotating about a vertical axis have been improved through the use of separate energy balances for theâ€¦ (More)

- Nikolay K. Vitanov, Marcel Ausloos
- ArXiv
- 2015

Two classical hypotheses are examined about the population growth in a system of cities : Hypothesis 1 pertains to Gibratâ€™s and Zipfâ€™s theory which states that the city growth-decay process is sizeâ€¦ (More)