Inverse Scattering Transform and the Theory of Solitons

Abstract

A review of the inverse scattering transform is given, and an introduction to solitons is provided.

review article to appear in Encyclopedia of Complexity and Systems Science

References in corpus (2)

• Exact solutions to the focusing nonlinear Schrodinger equation
• Explicit solutions to the Korteweg-de Vries equation on the half line

Cited by in corpus (4)

• Wave chaos in the non-equilibrium dynamics of the Gross-Pitaevskii equation
• Thermalization in a one-dimensional integrable system
• Emitting solitonized laser beams to boost the negative energy density of squeezed regions of the vacuum
• The Marchenko method for soliton solutions to the Sawada--Kotera equation