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