Author： Chalub Fabio
Publisher： Springer Publishing Company
ISSN： 1385-0172
Source： Mathematical Physics, Analysis and Geometry, Vol.8, Iss.3, 2005-08, pp. : 187-210
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Abstract
We prove that rational solutions of the AKNS hierarchy of the form q=/ and r=/, where (,,) are certain Schur functions, naturally yield Dirac operators of strict Huygens' type, i.e., the support of their fundamental solutions is the surface of the light-cone. This strengthens the connection between the theory of completely integrable systems and Huygens' principle by extending to the Dirac operators and the rational solutions of the AKNS hierarchy a classical result of Lagnese and Stellmacher concerning perturbations of wave operators.
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