# Solitary Wave Solution to the Nonlinear Schrödinger Equation

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows the analytic solitary wave solution to the nonlinear Schrödinger's equation (NLS, or Gross–Pitaevskii equation). A solitary wave is a localized traveling wave in space. Unlike an ordinary sinusoidal wave, a solitary wave is not periodic, and is highly localized. Since the NLS is not linear, the principle of superposition does not apply and so the sum of two solitary waves is not a solution to the NLS.

Contributed by: Kwan-yuet Ho (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The nonlinear Schrödinger equation for is , with in this Demonstration.

## Permanent Citation