Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation
Ryogo HirotaDepartment of Applied Mathematics, Faculty of Engineering Hiroshima University
1977en
ABI
Abstract
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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