Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation
1977 年 43 巻 6 号 p. 2079-2086
詳細
1977 年 43 巻 6 号 p. 2079-2086
A nonlinear partial difference equation which reduces to the sine-Gordon equation in the continuum limit, is obtained and solved by the method of dependent variable transformation. N-soliton solutions, the Bäcklund transformation and the inverse scattering form for this equation are presented.
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