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• W2077492511 abstract "The recently introduced ‘‘spatial transform’’ (ST) method for providing solutions to nonlinear evolution equations is developed when the basic ∂̄ equation is the ‘‘spectral Schrödinger’’ equation (S). A fundamental tool is the ‘‘spectral Wronskian,’’ which allows one to take advantage of the structure of a two-dimensional module for some set of solutions of (S). This leads easily to the KdV hierarchy. Contrary to the usual spectral transform (or inverse scattering transform) method there is no a priori assumption on the long distance behavior of the solutions. A recursion operator is exhibited. Local conservation laws and Bäcklund relations are also derived." @default.
• W2077492511 created "2016-06-24" @default.
• W2077492511 creator A5030467024 @default.
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• W2077492511 date "1987-10-01" @default.
• W2077492511 modified "2023-09-27" @default.
• W2077492511 title "The ‘‘spectral Wronskian’’ tool and the ∂̄ investigation of the KdV hierarchy" @default.
• W2077492511 cites W1987016838 @default.
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• W2077492511 doi "https://doi.org/10.1063/1.527768" @default.
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