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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.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…