For a dissipative system with Ohmic friction, we obtain a simple and exact solution for the wave function of the system plus the bath. It is described by the direct product in two independent Hilbert space. One of them is described by an effective Hamiltonian, the other represents the effect of the bath, i.e., the Brownian motion, thus clarifying the structure of the wave function of the system...

We analytically compute the time evolution of an initial infinite plane wave in the presence of a 1-dimensional square quantum barrier. This calculation generalizes the analysis of the shutter problem and sets the basis for the calculation of the transmission of general wave packets, aiming to work out the explicit contribution of the resonant (Gamow) states. The method relies mainly on the ana...

We study self-similar solutions of the kinetic equation for MHD wave turbulence derived in (Galtier S et al 2000 J. Plasma Phys. 63 447–88). Motivated by finding the asymptotic behaviour of solutions for initial value problems, we formulate a nonlinear eigenvalue problem comprising in finding a number x∗ such that the self-similar shape function f (η) would have a powerlaw asymptotic η−x ∗ at...

As has been shown recently [Cooper et al. 2002], [Khare et al. 2002a], [Khare et al. 2003], [Khare et al. 2002b] (periodic) Jacobian elliptic functions (if they are solutions of a certain nonlinear wave and evolution equation (NLWEE)) are start solutions for generating new solutions of the NLWEE by a linear superposition procedure. Thus, elliptic functions are of specific importance for finding...

Triggered by the explosion of mobile traffic, 5G cellular network requires evolution to increase the system rate 1000 times higher than the current systems in 10 years. Motivated by this common problem, this paper studies to integrate mm-wave access into current cellular networks as multi-band heterogeneous networks to exploit the ultrawideband aspect of the mm-wave band. This paper provides co...

Some recent experimental observations have been shown that inclusion of electron collisions damping in inertial Alfvén wave (IAW) dynamics may be important for laboratory as well as space plasmas. This paper presents the numerical simulation of model equation governing the nonlinear dynamics of IAW in low-beta plasmas. When the nonlinearity arises due to the ponderomotive force and Joule heatin...

A numerical investigation of nonlinear interaction mechanisms producing large wave energy concentrations, which lead to episodic transient waves, is performed using both a Higher Order Spectral (HOS) model and a three-dimensional (3D) fully nonlinear Numerical Wave Tank (NWT). Self-focusing of wave energy is achieved through modulating a periodic wave train along two orthogonal directions. Nonl...

This study presents wave height distribution in terms of stem wave evolution phenomena on partially perforated wall structures through three-dimensional laboratory experiments. The plain and partially perforated walls were tested to understand their effects on the stem wave evolution under the monochromatic and random wave cases with the various wave conditions, incident angle (from 10 to 40 de...