Nonlinear Diverging Waves

On Nonlinear Water Waves in a Channel

Diverging P waves after convergent procedures: What do they mean?

Atrial Fibrillation (AF) ablation procedures have become a common place in clinical practice. Specifically, targeting both paroxysmal and persistent AF with ablation procedures has yielded relatively good success rates and outcomes. Various strategies have been employed to achieve the desired results. These have included various forms of energies such as RF, cryo and Laser. Also, hybrid converg...

Diverging probability-density functions for flat-top solitary waves.

We investigate the statistics of flat-top solitary wave parameters in the presence of weak multiplicative dissipative disorder. We consider first propagation of solitary waves of the cubic-quintic nonlinear Schrödinger equation (CQNLSE) in the presence of disorder in the cubic nonlinear gain. We show by a perturbative analytic calculation and by Monte Carlo simulations that the probability-dens...

Bäcklund Transformation and N-Soliton Solutions for the Cylindrical Nonlinear Schrödinger Equation from the Diverging Quasi-Plane Envelope Waves

This paper investigates a cylindrical nonlinear Schrödinger (cNLS) equation, which describes the cylindrically diverging quasi-plane envelope waves in a nonlinear medium. With the Hirota method and symbolic computation, bilinear form and N-soliton solutions in the form of an Nth-order polynomial in N exponentials are obtained for the cNLS equation. By means of the properties of double Wronskian...

Linear and nonlinear waves

The study of waves can be traced back to antiquity where philosophers, such as Pythagoras (c.560-480 BC), studied the relation of pitch and length of string in musical instruments. However, it was not until the work of Giovani Benedetti (1530-90), Isaac Beeckman (1588-1637) and Galileo (1564-1642) that the relationship between pitch and frequency was discovered. This started the science of acou...