Nonlinear wave equations and constrained harmonic motion

Percy Deift; Fernando Lund; Eugene Trubowitz

doi:10.1073/pnas.77.2.716

. 1980 Feb;77(2):716–719. doi: 10.1073/pnas.77.2.716

Nonlinear wave equations and constrained harmonic motion

Percy Deift ^*, Fernando Lund ^*,^†, Eugene Trubowitz ^*,^‡

PMCID: PMC348351 PMID: 16592777

Abstract

The study of the Korteweg-deVries, nonlinear Schrödinger, Sine-Gordon, and Toda lattice equations is simply the study of constrained oscillators. This is likely to be true for any nonlinear wave equation associated with a second-order linear problem.

Keywords: dynamical systems, isospectral deformations