Il Nuovo Cimento B (1971-1996)

, Volume 111, Issue 12, pp 1495–1505 | Cite as

Resolvent approach to the ablowitz-ladik linear system

  • A. K. Pogrebkov
  • M. C. Prati


The resolvent operator corresponding to the Ablowitz-Ladik linear system with a generic potential is determined. We present the properties of this operator and, using them, we introduce Jost solutions, different from the ones known in the literature.


02.30.Jr Partial differential equations 


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Copyright information

© Società Italiana di Fisica 1996

Authors and Affiliations

  • A. K. Pogrebkov
    • 1
  • M. C. Prati
    • 2
  1. 1.Steklov Mathematical InstituteMoscowRussia
  2. 2.Scuola Normale Superiore di PisaINFN, Sezione di PisaPisaItaly

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