Exact solutions of semi-discrete sine-Gordon equation
Department of Physics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan
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Accepted: 26 January 2019
Published online: 13 May 2019
In this paper, we study a semi-discrete sine-Gordon (sd-SG) equation and compute various types of solutions analytically. We apply Darboux transformation to the associated spectral problem and construct N-soliton solutions of sd-SG equation in terms of ratio of ordinary determinants. In addition, we also construct explicit expressions of discrete one-kink, two-kink, kink-antikink, breather and degenerate soliton solutions of sd-SG equation in zero background.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019