The Newell-Whitehead-Segel Equation for Traveling Waves

The Nikolaevskiy equation with dispersion

The normal field instability under side-wall effects: comparison of experiments and computations

The onset of convection in a rotating layer of viscous fluid with an imposed magnetic field: dependence on the Prandtl numbers

The piston dispersive shock wave problem

The propagation of the light beam at the interface between uniform media and periodic media

The reduced Maxwell-Duffing description of extremely short pulses in non-resonant media

The Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equation

The scattering of a skyrmion configuration on asymmetric holes or barriers in a model Landau-Lifshitz equation

The solitons redistribution in Bose-Einstein condensate in quasiperiodic optical lattice

The Spectrum of the Partially Locked State for the Kuramoto Model

The Speed of Fronts of the Reaction Diffusion Equation

The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray-Scott Model

The Stability of Standing Waves

The Stability of Steady-State Hot-Spot Patterns for a Reaction-Diffusion Model of Urban Crime

The structure of the 3D-vortex lattices in microchip laser resonator

The Surface Topography of a Magnetic Fluid -- a Quantitative Comparison between Experiment and Numerical Simulation

The Swift-Hohenberg Equation Requires Non-Local Modifications to Model Spatial Pattern Evolution of Physical Problems

The symmetries of the Fokker - Planck equation in two dimensions

The theory of optical dispersive shock waves in photorefractive media