A solution of an operator equation related to the KdV equation

DOI10.1016/j.laa.2006.03.008zbMath1101.47012OpenAlexW2100330808MaRDI QIDQ855572

Ramesh V. Garimella, Volodymyr Hrynkiv, Ahmed Ramzi Sourour

Publication date: 7 December 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.03.008

zbMATH Keywords

spectruminvertibilityrank one operators

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Matrix equations and identities (15A24) Applications of operator theory to differential and integral equations (47N20) Equations involving linear operators, with operator unknowns (47A62) Applications of functional analysis to differential and integral equations (46N20)

Related Items (1)

An operator equation, KdV equation and invariant subspaces

Cites Work

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• Nonlinear equations in soliton physics and operator ideals
• 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

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