Integrability and beyond

DOI10.1007/BF02365206zbMath0932.37061OpenAlexW2008510827MaRDI QIDQ1303359

Athanassios S. Fokas

Publication date: 29 September 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68783

zbMATH Keywords

nonlinear Schrödinger equationinitial boundary value probleminverse scattering methodRiemann theta functionsinverse spectral methodnonlinear functional equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (1)

Riemann-Hilbert approach to the elastodynamic equation. I

Cites Work

• Completely integrable Hamiltonian systems associated with matrix operators and abelian varieties
• Baxter's equations and algebraic geometry
• The spectrum of Hill's equation
• Solvable nonlinear algebraic equations
• The Linearization of the Initial-Boundary Value Problem of the Nonlinear Schrödinger Equation
• Integrals of nonlinear equations of evolution and solitary waves

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