activity
20042025
most citedExact Travelling Wave Solutions of Some Nonlinear Nonlocal Evolutionary Equations

24 citations · 47 across the 7 of their papers we have counts for

collaborators

8 papers

cs.CL2025

NFDI4DS Shared Tasks for Scholarly Document Processing

Raia Abu Ahmad, Rana Abdulla, Tilahun Abedissa Taffa +18

Shared tasks are powerful tools for advancing research through community-based standardised evaluation. As such, they play a key role in promoting findable, accessible, interoperab…

math-ph2013

Mixed mode oscillations in the Bonhoeffer-van der Pol oscillator with weak periodic perturbation

E. Kutafina

Following the paper of K. Shimizu et al. (2011) we consider the Bonhoeffer-van der Pol oscillator with non-autonomous periodic perturbation. We show that the presence of mixed mode…

nlin.PS2011★ 8 cited

On the non-local hydrodynamic-type system and its soliton-like solution

V. A. Vladimirov, E. V. Kutafina, B. Zorychta

We analyze the conditions, which guarantee the existence of periodic and soliton-like traveling wave solutions in the non-local hydrodynamic model of structured media.

nlin.SI2011★ 3 cited

Taylor Series for Adomian Decomposition Method

Ekaterina Kutafina

In the paper we analyse the exact solutions to scalar PDEs obtained thanks to summable Taylor series provided by Adomian's decomposition method. We propose the modification of the…

nlin.PS2007★ 1 cited

Transformation of auto-Bäcklund type for hyperbolic generalization of Burgers equation

Ekaterina V. Kutafina

We consider the hyperbolic generalization of Burgers equation with polynomial source term. The transformation of auto-Bäcklund type was found. Application of the results is shown i…

nlin.PS2006★ 7 cited

Analytical description of the coherent structures within the hyperbolic generalization of Burgers equation

V. A. Vladimirov, E. V. Kutafina

We present new periodic, kink-like and soliton-like travelling wave solutions to the hyperbolic generalization of Burgers equation. To obtain them, we employ the classical and gene…