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• W2963759987 abstract "We formulate and discuss integrable analogue of the sine-Gordon equation on arbitrary time scales. This unification contains the sine-Gordon equation, discrete sine-Gordon equation and the Hirota equation (doubly discrete sine-Gordon equation) as special cases. We present the Lax pair, check compatibility conditions and construct the Darboux–Bäcklund transformation. Finally, we obtain a soliton solution on arbitrary time scale. The solution is expressed by the so-called Cayley exponential function." @default.
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• W2963759987 date "2015-03-01" @default.
• W2963759987 modified "2023-10-14" @default.
• W2963759987 title "The sine-Gordon equation on time scales" @default.
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• W2963759987 doi "https://doi.org/10.1016/j.jmaa.2014.10.044" @default.
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