On a zero curvature problem related to the ZS–AKNS operator

DOI10.1063/1.529861zbMath0762.35072OpenAlexW2006885767MaRDI QIDQ4030966

Jorge P. Zubelli

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529861

zbMATH Keywords

eigenfunctionsbispectral operatorsdifferential equation in the spectral parameter

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Spectrum, resolvent (47A10) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (6)

Matrix bispectrality of full rank one algebras ⋮ The Darboux process and a noncommutative bispectral problem: some explorations and challenges ⋮ Noncommutative bispectral Darboux transformations ⋮ Matrix bispectrality and noncommutative algebras: beyond the prolate spheroidals ⋮ The integrable property of a higher-order Zakharov-Shabat hierarchy ⋮ Bundle bispectrality for matrix differential equations.

Cites Work

• Differential equations in the spectral parameter
• Solitons and infinite dimensional Lie algebras
• Differential equations in the spectral parameter for matrix differential operators
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III
• Differential equations in the spectral parameter, Darboux transformations and a hierarchy of master symmetries for KdV
• Rational solutions of nonlinear evolution equations, vertex operators, and bispectrality
• "ISOMONODROMY" SOLUTIONS OF EQUATIONS OF ZERO CURVATURE
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• The Propagation of Nonlinear Wave Envelopes
• Integrals of nonlinear equations of evolution and solitary waves

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