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• W1971738255 abstract "A new, straightforward and rigorous approach to the theory of the sine-Gordon equation is presented. It provides a simple and unified view of the three known methods for solution, namely Hirota's method of generating N -soliton solutions, the inverse scattering transform, and Bäcklund transformations. In addition, new types of solutions, corresponding to multiple poles in the scattering data, can be easily obtained. The principal tool used is the theory of Fredholm determinants. Generalisations to other “soliton equations” seem to be possible." @default.
• W1971738255 created "2016-06-24" @default.
• W1971738255 creator A5028864872 @default.
• W1971738255 date "1983-10-01" @default.
• W1971738255 modified "2023-10-02" @default.
• W1971738255 title "Construction of solutions of the sine-Gordon equation by means of fredholm determinants" @default.
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• W1971738255 doi "https://doi.org/10.1016/0167-2789(83)90295-6" @default.
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