Binary Darboux transformations and \(N\)-wave systems in rings

DOI10.1007/BF02551200zbMath0987.37067MaRDI QIDQ1586709

R. Smith

Publication date: 23 November 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

zero-curvature conditionbinary Darboux transformation\(N\)-wave systemelementary Darboux transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (4)

Several reverse-time integrable nonlocal nonlinear equations: Rogue-wave solutions ⋮ Binary Darboux transformation for the coupled Sasa-Satsuma equations ⋮ Discrete symmetries, Darboux transformation, and exact solutions of the Wess-Zumino-Novikov-Witten model ⋮ Soliton solutions of noncommutative anti-self-dual Yang–Mills equations

Cites Work

• Self-dual Yang-Mills fields over a sphere
• Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
• Instantons and algebraic geometry
• The reduced self-dual Yang–Mills equation, binary and infinitesimal Darboux transformations
• Bilinear Form Approach to the Self-Dual Yang-Mills Equations and Integrable Systems in (2+1)-Dimension

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