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- W3100408293 abstract "It is well known that twistor constructions can be used to analyse and to obtain solutions to a wide class of integrable systems. In this paper we express the standard twistor constructions in terms of the concept of an admissible family of rational curves in certain twistor spaces. Examples of such families can be obtained as subfamilies of a simple family of rational curves using standard operations of algebraic geometry. By examination of several examples, we give evidence that this construction is the basis of the construction of many of the most important solitonic and algebraic solutions to various integrable differential equations of mathematical physics. This is presented as evidence for a principle that, in some sense, all soliton-like solutions should be constructable in this way." @default.
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- W3100408293 date "2004-12-07" @default.
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- W3100408293 title "Solitons and admissible families of rational curves in twistor spaces" @default.
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- W3100408293 doi "https://doi.org/10.1088/0951-7715/18/2/005" @default.
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