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- W2550562298 abstract "Our paper introduces and studies the idea of multitime evolu- tion in the context of solitons. Section 1 presents some historical data about solitons. Section 2 deflnes the multitime sine-Gordon PDE, using a fundamental tensor and a linear connection. Section 3 describes the multitime sine-Gordon scalar solitons as special solutions of the multitime sine-Gordon PDE. Section 4 proves the existence of the multitime sine-Gordon biscalar solitons. Section 5 analyzes the geometric characteristics (fundamental tensor, linear con- nection) of the sine-Gordon PDE, showing the existence of an inflnity of Riemannian or semi-Riemannian structures such that the new PDE is a prolongation of the sine-Gordon PDE. The two-time sine-Gordon geo- metric dynamics, which is presented here for the flrst time, shows that the sine-Gordon soliton is generated." @default.
- W2550562298 created "2016-11-30" @default.
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- W2550562298 date "2011-01-01" @default.
- W2550562298 modified "2023-09-26" @default.
- W2550562298 title "Multitime sine-Gordon solitons via geometric characteristics" @default.
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