On the inverse problem and prolongation structure for the modified anisotropic Heisenberg spin chain
Archan Kumar De, Asesh Roy Chowdhury · Journal of Mathematical Physics · 1987
A modified form of the anisotropic Heisenberg spin chain has been considered. By use of the prolongation structure technique of Wahlquist and Estabrook, the elliptic Lax pair associated with this equation has been deduced. A variant of the Reimann–Hilbert problem on the torus is used to indicate the way to the solution of the inverse problem.