Time Evolution of the Scattering Data for the Forced Toda Lattice

DOI10.1002/sapm19898117zbMath0685.35101OpenAlexW2253036362MaRDI QIDQ4735556

D. J. Kaup, David Wycoff

Publication date: 1989

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm19898117

zbMATH Keywords

Toda latticeinverse scatteringMaclaurin series

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Boundary value problems for nonlinear higher-order PDEs (35G30) Boundary value problems for linear higher-order PDEs (35G15) Linear integral equations (45A05)

Related Items

An initial-boundary value problem for the Korteweg-de Vries equation ⋮ Forced lattice vibrations: Part I ⋮ Existence and modulation of traveling waves in particles chains

Cites Work

• On the inverse scattering problem for the one-dimensional Schrödinger equation with an energy dependent potential
• A Higher-Order Water-Wave Equation and the Method for Solving It
• The inverse scattering transform: Semi-infinite interval
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• On the Toda Lattice. II: Inverse-Scattering Solution