Solution of nonlinear equations by trace methods

DOI10.1088/0951-7715/13/6/304zbMath0972.35132OpenAlexW2003243437MaRDI QIDQ4521388

Henning Blohm

Publication date: 19 December 2000

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/6/304

zbMATH Keywords

Lax pairsZakharov-Shabat systemzero-curvature conditionsexplicit solution of inverse scattering problems

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (8)

A solution of an operator equation related to the KdV equation ⋮ The Sylvester equation and the elliptic Korteweg-de Vries system ⋮ Cauchy-type determinants and integrable systems ⋮ An operator equation, KdV equation and invariant subspaces ⋮ Asymptotics for the multiple pole solutions of the nonlinear Schrödinger equation ⋮ The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation ⋮ Solution formulas for the two-dimensional Toda lattice and particle-like solutions with unexpected asymptotic behaviour ⋮ Matrix Korteweg-de Vries and modified Korteweg-de Vries hierarchies: Noncommutative soliton solutions

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