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The KdV Equation and Solitons

Application ID: 85

The Korteweg-de Vries (KdV) equation models water waves. It contrasts sharply to the Burgers equation, because it introduces no dissipation and the waves travel seemingly forever. Solitons have their primary practical application in optical fibers. Specifically, a fiber’s linear dispersion properties level out a wave while the nonlinear properties give a focusing effect. The result is a very stable, long-lived pulse. This solution says that the pulse’s speed determines its amplitude and width. This simulation illustrates this effect.

Ce modèle a été construit avec les éléments suivants:

COMSOL Multiphysics®

The combination of COMSOL® products required to model your application depends on the physics interfaces that define it. Particular physics interfaces may be common to several products (see the Specification Chart for more details). To determine the right combination of products for your project, you should evaluate all of your needs in light of each product\'s capabilities, consultation with the COMSOL Sales and Support teams, and the use of an evaluation license.