https://doi.org/10.1140/epjp/i2019-12544-y
Regular Article
Exact solutions of semi-discrete sine-Gordon equation
Department of Physics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan
* e-mail: yasir_pmc@yahoo.com
Received:
15
October
2018
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
