Fundamental asymmetric lamb wave’s interactions with rectangular notches in a steel plate are investigated in this paper. Elastodynamic finite integration technique previously mainly used to study wave propagation in elastic media is adopted to study lamb wave interaction with defects. Simulation examples are presented to illustrate the reflection and transmission coefficients’ variations with ...

We present determinant expressions for vector rogue wave (RW) solutions of the Manakov system, a two-component coupled nonlinear Schrödinger (NLS) equation. As a special case, we generate a family of exact and non-symmetric RW solutions of the NLS equation up to third order, localized in both space and time. The derived non-symmetric doubly localized second-order solution is generated experimen...

Accepting a time-symmetric quantum dynamical world with ontological wave functions or fields, we follow arguments that naturally lead to two-boundary interpretation of mechanics. The usual two boundary picture is valid superdeterministic interpretation. It has, however, one unsatisfactory feature. random selection chosen measurement path the universe far too complicated. To avoid it, propose an...

Inspired by the natural ripple-like phenomenon that distorts a reflection on a water surface, this paper introduces a new symmetric image cipher using wave perturbations to shuffle images in an n dimensional (n D) space. Its strong diffusion and confusion properties are ensured by pseudo-random wavefronts and additional salts and peppers bits. Extensive simulations and comparisons demonstrate t...

In this paper, the equation of motion for an incompressible transversely isotropic fibre-reinforced elastic solid is derived in terms of a scalar function.   The general solution of the equation of motion is obtained, which satisfies the required radiation condition.  The appropriate traction free boundary conditions are also satisfied by the solution to obtain the required secular equation for...

In this study, we aim to construct a traveling wave solution for nonlinear partial differential equations. In this regards, a cosine-function method is used to find and generate the exact solutions for three different types of nonlinear partial differential equations such as general regularized long wave equation (GRLW), general Korteweg-de Vries equation (GKDV) and general equal width wave equ...

Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase-transition point is analytically studied. A nonlinear Klein-Gordon equation is derived for the envelope of these wave packets. A variety of phenomena known to exist in this envelope equation are shown to also exist in the full equation, including wave blowup, periodic bound states, and solitary wave solu...

We investigate the iterated Kronecker product of a square matrix with itself and prove an invariance property for symmetric subspaces. This motivates the definition of an iterated symmetric Kronecker product and the derivation of an explicit formula for its action on vectors. We apply our result for describing a linear change in the matrix parametrization of semiclassical wave packets.

The exact traveling wave solutions to coupled KdV equations with variable coefficients are obtained via the use of quadratic Jacobi’s elliptic function expansion. presented have a more general form than those studied in literature. Nine couples found. Each couple is symmetric mathematical form. In limit cases m→1, these periodic degenerate as corresponding soliton solutions. After simple parame...