Sine-Gordon equation and nonlinearmodel on a lattice
- 15 November 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 18 (10) , 3828-3832
- https://doi.org/10.1103/physrevd.18.3828
Abstract
A discrete generalization of the sine-Gordon equation on a lattice is studied. The corresponding Bäcklund transformations, soliton solutions, action principle, conservation laws, and inverse scattering equations are obtained. The connection to a discrete version of the two-dimensional nonlinear model is found.
Keywords
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