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Light and sound are the most ubiquitous forms of waves, associated with a variety of phenomena and physical effects such as rainbows and echoes. Light and sound, both categorized as classical waves, have lately been brought into unexpected connections wi
Localized wave solutions of the scalar homogeneous wave equation and their optical implementation. Preprint at arxiv: physics/0309079 (2003). Kiselev, A. P. Localized light waves: paraxial and exact solutions of the wave equation (a review). Opt. Spectrosc. 102, 603–622 (2007). Article ADS...
bar formalism [12]. This formalism first appeared in the works of Beals and Coifman on problems with one spatial dimension [13,14]. By now the above methodologies have been used to solve the initial value problems of a wide variety of integrable evolution equations with two spatial dimensions ...
Exact Solutions for a Class of Nonlinear Partial Differential Equations using Exp-Function Method In this paper, the Exp-function method is used to construct solitary and soliton solutions of nonlinear partial differential equations. Phi-Four equation, ... A Bekir,A Boz - 《International Journal ...
wave structures are extracted including the three-wave hypothesis, breather wave, lump periodic, mixed-type wave, periodic cross-kink, cross-kink rational wave, M-shaped rational wave, M-shaped rational wave solution with one kink wave, and M-shaped rational wave with two kink wave solutions. ...
Active optical systems have been developed in recent years to provide solutions to problems of this type. Although the field of active optics is relatively new, there have been many publications detailing the work performed in the area. A good survey of the state of the art, as of the year...
Abstract The Jaynes–Cummings model in the general nonresonant case without rotating-wave approximation is considered. The analysis is carried out using the resolvent formalism. It is shown that one, given the matrix of Hamiltonian resolvent, can easily find all basic physical quantities corresponding...
Bordering on the edge of using the more accurate GPS solutions was Telemap. They provide location based services focused on both retail and social. In the booth they were showing what is called Ultra Local Experience. This is information and services down to a street level when an individual ...
Traditional wave kinetics describes the slow evolution of systems with many degrees of freedom to equilibrium via numerous weak non-linear interactions and fails for very important class of dissipative (active) optical systems with cyclic gain and losses, such as lasers with non-linear intracavity dyn...