22 citations · 22 across the 6 of their papers we have counts for
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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 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…