Exact Travelling Wave Solutions of Some Nonlinear Nonlocal Evolutionary Equations

Direct algebraic method of obtaining exact solutions to nonlinear PDE's is applied to certain set of nonlinear nonlocal evolutionary equations, including nonlinear telegraph equation, hyperbolic generalization of Burgers equation and some spatially nonlocal hydrodynamic-type model. Special attention is paid to the construction of the kink-like and soliton-like solutions.Comment: 13 pages, LaTeX2

Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology

We present a review of our recent works directed towards discovery of a periodic, kink-like and soliton-like travelling wave solutions within the models of transport phenomena and the mathematical biology. Analytical description of these wave patterns is carried out by means of our modification of the direct algebraic balance method. In the case when the analytical description fails, we propose to approximate invariant travelling wave solutions by means of an infinite series of exponential functions. The effectiveness of the method of approximation is demonstrated on a hyperbolic modification of Burgers equation

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

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 generalized symmetry methods and the ansatz-based approachComment: 12 pages, 8 figure

Platelet-activity dependence on the age of rats with experimental dyslipidemia

The purpose of the paper is to reveal the dependence of platelet activity level in rats on the age of their experi- mental dyslipidemia. The study included 105 healthy male rats (34 rats aged 12 months, 32 rats aged 18 months, and 39 rats aged 24 months) with modeled dyslipidemia. The control group included 91 healthy male rats (30 animals aged 12 months, 32 rats aged 18 months, and 29 animals aged 24 months) under standard vivarium conditions. Biochemical, hematological, and statistical methods were applied. Gradual increasing of functional platelet activity was noticed in the control rats with increasing age. Alimentary modeling of dyslipidemia in the rats resulted in marked platelet-activity increase, growing with the increase in the experimental animals' age. Dyslipidemia modeling in the rats of different age showed the weakening of plasma antioxidant protection and increase in plasma LPO, deepening with the increase in the studied animals' age. The developing disorders in the experimental rats exceeded the age-related changes of platelet activity in the control. © 2016 Zavalishina et al

Platelet-activity dependence on the age of rats with experimental dyslipidemia

The purpose of the paper is to reveal the dependence of platelet activity level in rats on the age of their experi- mental dyslipidemia. The study included 105 healthy male rats (34 rats aged 12 months, 32 rats aged 18 months, and 39 rats aged 24 months) with modeled dyslipidemia. The control group included 91 healthy male rats (30 animals aged 12 months, 32 rats aged 18 months, and 29 animals aged 24 months) under standard vivarium conditions. Biochemical, hematological, and statistical methods were applied. Gradual increasing of functional platelet activity was noticed in the control rats with increasing age. Alimentary modeling of dyslipidemia in the rats resulted in marked platelet-activity increase, growing with the increase in the experimental animals' age. Dyslipidemia modeling in the rats of different age showed the weakening of plasma antioxidant protection and increase in plasma LPO, deepening with the increase in the studied animals' age. The developing disorders in the experimental rats exceeded the age-related changes of platelet activity in the control. © 2016 Zavalishina et al