Nonlinear evolution equations: integrability and spectral methods, Manchester University Press, 1990, 115-123

Explicit form of Backlund transformations for GL(N), U(N) and O(2N) principal chiral fields

Chaohao Gu
Zi-Xiang Zhou

Abstract

The explicit form of Darboux matrices of Backlund transformations for GL(N), U(N) and O(2n) principal chiral fields is obtained. The algorithm is purely algebraic and can be continued successively, provided that a seed solution and a fundamental solution of the Lax pair is given. It is noted that a Backlund transformation does not create or kill solitons in the case of principal chiral fields.

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