Geometrical equivalence of a deformed heisenberg spin equation and the generalized nonlinear schrodinger equation

Porsezian, K. ; Lakshmanan, M. ; Tamizhmani, K. M. (1987) Geometrical equivalence of a deformed heisenberg spin equation and the generalized nonlinear schrodinger equation Physics Letters A, 124 (3). pp. 159-160. ISSN 0375-9601

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037596...

Related URL: http://dx.doi.org/10.1016/0375-9601(87)90243-X

Abstract

It is shown that the general SO(3) invariant deformed Heisenberg spin chain discussed by Mikhailov and Shabat is geometrically equivalent to a generalized nonlinear Schrodinger equation through a moving space curve formalism. They are also mutually gauge equivalent in the sense noted by Kundu in a different context.

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