The Zakharov–Shabat inverse spectral problem for operators

DOI10.1063/1.530063zbMath0789.47040OpenAlexW2087924427MaRDI QIDQ3136675

Wolfgang Bauhardt, Christoph Pöppe

Publication date: 21 October 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530063

zbMATH Keywords

soliton equationsinverse spectral transformgeneralized Zakharov-Shabat equationsnonlinear evolution equation for operators having a trace

Mathematics Subject Classification ID

Related Items (5)

The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra ⋮ Partial differential systems with non-local nonlinearities: generation and solutions ⋮ Poisson structure and action-angle variables for the Hirota equation ⋮ The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg-de Vries hierarchy ⋮ Grassmannian flows and applications to non-commutative non-local and local integrable systems

Cites Work

• Fredholm determinants and the \(\tau\) function for the Kadomtsev- Petviashvili hierarchy
• The Fredholm determinant method for the KdV equations
• The Fredholm determinant method for discrete integrable evolution equations
• Fredholm Determinant Solution for the Inverse Scattering Transform of the N x N Zakharov-Shabat Equation
• General determinants and the tau function for the Kadomtsev-Petviashvili hierarchy
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

This page was built for publication: The Zakharov–Shabat inverse spectral problem for operators