Obtained dispersion equation

This study is devoted to investigate the propagation of Rayleigh-type waves in transversely isotropic nonlocal piezoelastic half-space. When the stress-free boundary is maintained at charge-free condition, the dispersion equation for the propagation of Rayleigh waves at the free surface of transversely isotropic piezoelastic solids has been obtained. Based on the obtained dispersion equation, the effect of the nonlocality on the speed of Rayleigh wave is numerically considered.

9p nguaconbaynhay11 07-04-2021 9 2   Download

In this paper, we analytically investigated the possibility of parametric resonance of acoustic and optical phonons. We obtained a general dispersion equation for parametric amplification and transformation of phonons.

7p viino2711 08-05-2020 10 2   Download

In nonlinear optics, the soliton transmission in different forms can be described with the use of nonlinear Schrödinger (NLS) equations. Here, the soliton transmission is investigated by solving the NLS equation with the reciprocal of the group velocity b1ðzÞ, the group velocity dispersion coefficient b2ðzÞ and nonlinear coefficient cðzÞ. Two-soliton solutions for the NLS equation are obtained through the Hirota method. According to the solutions obtained, b1ðzÞ and cðzÞ with different function forms are taken to study the characteristics of solitons.

8p trinhthamhodang1 14-11-2019 23 0   Download

This paper is concerned with the blow-up of solutions to some nonlocal inhomogeneous dispersal equations subject to homogeneous Neumann boundary conditions. We establish conditions on nonlinearities sufficient to guarantee that solutions exist for all time as well as blow up at some finite time. Moreover, lower bounds for blow-up time of nonlocal problems are obtained.

17p tuongvidanh 06-01-2019 30 1   Download

In this paper, the secular equation of Rayleigh surface waves propagating in an orthotropic layered half-space is derived by the matrix method. All the layers and the halfspace are assumed to have identical principle axes. The explicit form of the matrizant for each layer is obtained by the Sylvester’s theorem. The derived secular equation takes only real values and depends only on the dimensionless variables and dimensionless material parameters. Hence, it is convenient in numerical calculation.

12p thienthanquydu 23-10-2018 29 0   Download

The dispersion equations for phonon frequencies with wave-vector components parallel to the wire are obtained. After having quantized the phonon field we derive the Frohlich Hamiltonian describing the electron–LO-phonon interaction. The influence of the thickness of the barrier layer as well as the thin metallic shell on the phonon frequencies and their interaction with electrons is studied.

10p thuyliebe 09-10-2018 32 0   Download