22 citations · 22 across the 6 of their papers we have counts for
6 papers
Waves and distributions connected to systems of interacting populations
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov
We discuss two cases that can be connected to the dynamics of interacting populations: (I.) density waves for the case or negligible random fluctuations of the populations densitie…
Discussion on exp-function method and modified method of simplest equation
Zlatinka I. Dimitrova
We discuss the relation between the modified method of simplest equation and the exp-function method. First on the basis of our experience from the application of the method of sim…
Integrability of differential equations with fluid mechanics application: from Painleve property to the method of simplest equation
Zlatinka I. Dimitrova, Kaloyan N. Vitanov
We present a brief overview of integrability of nonlinear ordinary and partial differential equations with a focus on the Painleve property: an ODE of second order has the Painleve…
On the variational problem for the upper bounds of solute transport in double-diffusive convection
Nikolay Vitanov, Zlatinka Dimitrova
The formulation of the variational problems for the solute transport in a fluid layer in presence of double-diffusive thermal convection is discussed. It is shown that the variatio…
On traveling waves in lattices: The case of Riccati lattices
Zlatinka I. Dimitrova
The method of simplest equation is applied for analysis of a class of lattices described by differential-difference equations that admit traveling-wave solutions constructed on the…
Application of the modified method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg - de Vries equation and generalized Camassa-Holm equation
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Holger Kantz
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…