A general method of discretizing soliton equations is presented, which preserves exact integrability and the transformation group of solutions. The procedure is described by taking an example of the Heisenberg Ferromagnet equation S t = S × S x x , S 2 =1. Its difference-difference analogue and the associated linear problem are obtained as well as soliton solutions. As a basic tool, bilinear identities for τ functions and wave functions are worked out for a reduction of the 2-component KP hierarchy.
No takes yet. Share an insight, caveat, or question.
Date et al. (1982) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: