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• W2037897773 startingPage "617" @default.
• W2037897773 abstract "Spectral problems of the third order (matrix and scalar) and associated systems of non-linear equations are studied. The technique to construct the solutions is developed for possible reduction constraints. The Dodd-Bullough-Mikhailov, Hirota-Satsuma, Boussinesq, Sawada-Kotera, Kaup-Kupershmidt and less popular reductions of nonlinear systems are treated by means of the Darboux transformation method with the covariant bilinear conditions for the given reduction. Properties of some new soliton-like solutions are discussed. The generalization of Darboux transformation theorems for the reductions corresponding to the above mentioned equations in two spatial and one temporal dimensions are given." @default.
• W2037897773 created "2016-06-24" @default.
• W2037897773 creator A5016371374 @default.
• W2037897773 creator A5056225042 @default.
• W2037897773 date "1994-06-01" @default.
• W2037897773 modified "2023-10-06" @default.
• W2037897773 title "Third order spectral problems: reductions and Darboux transformations" @default.
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• W2037897773 doi "https://doi.org/10.1088/0266-5611/10/3/008" @default.
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