Starting from a model study of the collinear (H, H2) exchange reaction in 1959, time-dependent quantum mechanical wave packet (TDQMWP) method has come long way dealing with systems as large Cl + CH4.

Coherent properties of a two-dimensional spatially periodic structure, polaritonic crystal (PolC) formed by trapped two-level atoms in an optical cavity array interacting with a light field, are analyzed. By considering the wave function overlapping for both photonic and atomic states, a cubic-quintic complex nonlinear Schrödinger equation is derived for the dynamics of coupled atom-light state...

[1] In this paper we study the energy dissipation due to current-limited wave breaking in monochromatic and random waves with the help of experimental tests. The opposing currents are strong enough for wave blocking to occur. A modified bore model is used to simulate the dissipation rate in the monochromatic waves, and an empirical bulk dissipation formula for wave breaking in random waves is p...

Abstract Instabilities of deep-water wave trains subject to initially small perturbations (which then grow exponentially) can lead extreme waves in offshore regions. The present study focuses on the two-dimensional Benjamin–Feir (or modulational) instability and three-dimensional crescent horseshoe) waves, also known as Class I II instabilities, respectively. Numerical studies instabilities dat...

In isotropic bistable media, a vortex pair typically evolves into rotating spiral waves. In an anisotropic system, instead of spiral waves, the vortices can form wave fragments that propagate with a constant speed in a given direction determined by the system's anisotropy. The fragments may propagate invariably, shrink, or expand. We develop a kinematic approach for the study of vortex-pair dyn...

We propose an algorithm for an asymptotic model of shallow-water wave dynamics in a periodic domain. The algorithm is based on the Hamiltonian structure of the equation and corresponds to a completely integrable particle lattice. In particular, “periodic particles” are introduced in the algorithm for waves travelling through the domain. Each periodic particle in this method travels along a char...