Different from the Hertz impact, a sphere impacting on plate has an extra dissipation by flexural wave propagating plate. This been noticed Zener (1941), who introduced this term into governing equation. Because of wave, equation cannot be treated as same way in impact problem. As result, past 80 years, except few numerical tries for equation, no analytical solution provided evolution compressi...

The concept of the nonholonomic deformation formulated recently for the AKNS family is extended to the Kaup-Newell class. Applying this construction we discover a novel mixed integrable hierarchy related to the deformed derivative nonlinear Schrödinger (DNLS) equation and found the exact soliton solutions exhibiting unusual accelerating motion for both its field and the perturbing functions. Ex...

image analysis, the introduction of the notion of scale in motion analysis is far from trivial. In optic flow based In optic flow based velocity estimation the image brightness constraint equation is used. However, for measurements pervelocity estimation, correspondences between adjacent formed at a certain scale, the brightness constraint equation frames are made using the image brightness con...

Electron binding energies are evaluated as differences in total energy between the N- and (N ± 1)-electron systems calculated by the nth-order Møller-Plesset perturbation (MPn) theory using the same set of orbitals. The MPn energies up to n = 30 are, in turn, obtained by the determinant-based method of Knowles et al. (Chem. Phys. Lett. 1985, 113, 8-12). The zeroth- through third-order electron ...

The Green’s-theorem integral equation formulation is employed to study numerically the coupling into surface plasmon polaritons by illuminating a finite metal grating with a Gaussian beam from the vacuum half-space above the metal surface. A flat surface impedance boundary condition is used to simplify the scattering integral equations. The grating coupler period is chosen so that the first dif...