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• W2148344111 abstract "In the example of the Schrödinger/KdV equation, we treat the theory as equivalence of two concepts of Liouvillian integrability: quadrature integrability of linear differential equations with a parameter (spectral problem) and Liouville's integrability of finite-dimensional Hamiltonian systems (stationary KdV equations). Three key objects in this field—new explicit Ψ -function, trace formula and the Jacobi problem—provide a complete solution. The Θ -function language is derivable from these objects and used for ultimate representation of a solution to the inversion problem. Relations with non-integrable equations are also discussed." @default.
• W2148344111 created "2016-06-24" @default.
• W2148344111 creator A5020898802 @default.
• W2148344111 date "2007-06-27" @default.
• W2148344111 modified "2023-09-26" @default.
• W2148344111 title "What does integrability of finite-gap or soliton potentials mean?" @default.
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• W2148344111 doi "https://doi.org/10.1098/rsta.2007.2056" @default.
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