In this paper, the auxiliary equation method is employed to construct novel solitary wave solutions of dimensionless form non-linear Schrodinger with parabolic law non-linearity in presence dispersion. The are represented through various techniques demonstrate dynamical and physical behavior investigated models. All checked their accuracy by putting them back into original model?s MATHEMATICA 12.

We suggest a modification of the estimate for weighted L2-norm of the solution gradient of a parabolic equation via L2-norm of the free term. We found the limit upper estimate that can be achieved by transformation of the equation via adding a constant to the zero order coefficient. This upper limit estimate is used to obtain an asymptotic estimate for this weighted norm of the gradient at init...

On the basis of the continuity equation and the Bernoulli equation in the steady form, a differential equation is developed to evaluate the successive water levels within compartments of an upright perforated wave absorber. Then the initial and boundary conditions are introduced and the differential equation is solved as an initial value problem. Finally the reflection coefficient from the wave...

This paper is concerned with the study of solutions to discrete parabolic equations in divergence form with random coefficients, and their convergence to solutions of a homogenized equation. It has previously been shown that if the random environment is translational invariant and ergodic, then solutions of the random equation converge under diffusive scaling to solutions of a homogenized parab...

Accurate radio wave prediction models are necessary for the innovation of mobile communication technology and deployment wireless sensor networks in railways. The parabolic equation (PWE) method is one commonly used to predict electromagnetic characteristic long railway tunnels. However, advent novel antennas technologies (e.g., beam steering, beamforming) has posed new challenges PWE-based suc...

The origin of conventional models for nonlinear optical pulse propagation lies in the ubiquitous slowly-varying envelope approximation (SVEA) accompanied by a Galilean boost to a local-time frame. While such a near-universal procedure typically results in a simpler (parabolic) model of the nonlinear Schrödinger-type, in reality a more subtle but less well-explored class of wave equation underpi...

A natural class of appropriate viscosity matrices for strictly hyperbolic systems of conservation laws in one space dimension, II, + f(u), =0, u E R”, is studied. These matrices are admissible in the sense that small-amplitude shock wave solutions of the hyperbolic system are shown to be limits of smooth traveling wave solutions of the parabolic system u, + f(u), = v(Du,), as v -t 0 if D is in ...

Abstract—Using the quantum kinetic equation for electrons interacting with acoustic phonon, the density of the constant current associated with the drag of charge carriers in cylindrical quantum wire by a linearly polarized electromagnetic wave, a DC electric field and a laser radiation field is calculated. The density of the constant current is studied as a function of the frequency of electro...