Exact Cylindrical Soliton Solutions of the Sine-Gordon Equation,the Sinh-Gordon Equation and the Periodic Toda Equation
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概要
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We consider the sine-Gordon equation, the sinh-Gordon equation and the periodicToda equation which are written respectively as dzvl-sinzz=0, Ju-F-sinhzz=0 andA u. - exp ( - u.-F- u. .)l- exp ( - u...-I- u.) = 0, (u.= u....), where A "= &'/ 8x'-V8'/ 8y'. The exact analytic solutions of the above equations corresponding to the cylin-drical solitons have been obtained. The solutions are expressed by the series expan-sions of the Bessel functions.
- 社団法人日本物理学会の論文
- 1988-10-15
著者
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Nakamura Akira
Physics Laboratory Osaka University Of Foreign Studies Aomadani
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Nakamura Akira
Physics Division Electrotechnical Laboratory
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