Soliton physics and the periodic inverse scattering transform

DOI10.1016/0167-2789(95)00089-MzbMath0885.35109OpenAlexW2056423358MaRDI QIDQ1896515

Alfred R. Osborne

Publication date: 29 August 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00089-m

zbMATH Keywords

inverse scattering transformKorteweg-de Vries equation\(\theta\)-function representationstatistical methods in physical oceanography

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (3)

Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform ⋮ Homotopy solution for nonlinear differential equations in wave propagation problems ⋮ On the dynamics of locally resonant sonic composites

Cites Work

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• Automatic algorithm for the numerical inverse scattering transform of the Korteweg-de Vries equation
• Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
• The inverse scattering transform: Semi-infinite interval
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES

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