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Dynamics of Cosmological Models with Nonlinear Classical Phantom Scalar Fields. I. Formulation of the Mathematical Model and analyzed. Systems of dynamical equations in the plane, describing homogeneous cosmological models, have

Nonlinear Equations of Fourth-Order With p-Laplacian Like Operators: Oscillation, Methods and ApplicationsFourth-order differential equations appear in physical applications (such as fluid dynamics

Finite Difference Models of Dynamical Systems with Quadratic Right-Hand SideDifference schemes that approximate dynamic systems are considered discrete models of the same

Dynamics of Solitons of the Generalized Nonlinear Schrödinger Equation in an Inhomogeneous and Nonstationary Medium: Evolution and Interaction nonlinear Schrödinger (NLS) equation describing the dynamics of the envelope of modulated nonlinear waves

On the Selection of Weights for Difference Schemes to Approximate Systems of Differential Equations equations of a general form to one scalar equation. This method provides us with some values for the weights

Special features of the nonlinear dynamics of quasiparticles in molecular structures with hydrogen bonds with allowance for the interaction of not only the nearest neighborsThe dynamics of propagation of protons along a molecular chain of hydrogen bonds is analyzed

Quasigroups, Geometry and Nonlinear Geometric AlgebraA survey of the methods of the theory of quasigroups and loops in algebra and geometry is presented

The modified method of contour dynamics and modeling of vortical structures of carry of a vortex and by the Poisson equation for a flow function, namely, the contour dynamics method

Nonlinear dynamics of the solitary vortices and the wave structures in the complex mediaNonlinear dynamics of the solitary vortices and the wave structures in the complex media

The BK System: Soliton Dynamics in Media with Wave Field Stochastic Fluctuations (theory and applications)The soliton dynamics in complex continuous media with the wave field's stochastic fluctuations

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