Nonlinear Wave Propagation for a Strain Wave Equation of a Flexible Rod with Finite Deformation

Exact travelling wave solutions in a nonlinear elastic rod equation

In this paper,an extended mapping method with symbolic computation is developed to obtain new periodic wave solutions in terms of Jacobin elliptic function for nonlinear evolution equations arising in mathematical physics.As a result,many exact travelling wave solutions are obtained which include new solitary wave solutions,triangular and hyperbolic functions.Solutions in the limiting cases hav...

PLANE WAVE PROPAGATION THROUGH A PLANER SLAB

An approximation technique is considered for computing transmission and reflection coefficients for plane waves propagating through stratified slabs. The propagation of elastic pulse through a planar slab is derived from first principles using straightforward time-dependent method. The paper ends with calculations of enhancement factor for the elastic plane wave and it is shown that it depends ...

Plane Wave Propagation Through a Planer Slab

An approximation technique is considered for computing transmission and reflection coefficients for propagation of an elastic pulse through a planar slab of finite width. The propagation of elastic pulse through a planar slab is derived from first principles using straightforward time-dependent method. The paper ends with calculations of enhancement factor for the elastic plane wave and it is s...

Forced Vibrations for a Nonlinear Wave Equation

MPI- and CUDA- implementations of modal finite difference method for P-SV wave propagation modeling

Among different discretization approaches, Finite Difference Method (FDM) is widely used for acoustic and elastic full-wave form modeling. An inevitable deficit of the technique, however, is its sever requirement to computational resources. A promising solution is parallelization, where the problem is broken into several segments, and the calculations are distributed over different processors. ...