An operator equation, KdV equation and invariant subspaces

DOI10.1090/S0002-9939-09-10118-1zbMath1196.47016OpenAlexW1967973384MaRDI QIDQ5189195

Volodymyr Hrynkiv, Ramesh V. Garimella, Ahmed Ramzi Sourour

Publication date: 8 March 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10118-1

zbMATH Keywords

spectruminvariant subspacesoperator methodrank one operators

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Invariant subspaces of linear operators (47A15) Applications of operator theory to differential and integral equations (47N20) Equations involving linear operators, with operator unknowns (47A62)

Cites Work

• A solution of an operator equation related to the KdV equation
• EXPLICIT SOLUTION FORMULAS FOR THE MATRIX-KP
• Nonlinear equations in soliton physics and operator ideals
• SPECTRAL PROPERTIES OF THE OPERATOR EQUATION AX + XB = Y
• Solution of nonlinear equations by trace methods
• An operator method for finding exact solutions to vector Korteweg–de Vries equations
• On realizations of solutions of the KDV equation by the C0-semigroup method
• On realizations of solutions of the KdV equation by determinants on operator ideals
• Linear Operator Equations
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