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  • 1
    ISSN: 1573-0530
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Abstract It is shown how the reduction method applied to a 2×2 Zakharov-Shabat system with appropriate meromorphic structure leads to the Thirring model as integrability conditions. Reducing the generic soliton-generating multi-Bäcklund transformations, the general multi-soliton solutions are explicitly derived.
    Notes: Resumé It est démontré que la méthode de réduction appliquée à un système d'ordre 2×2 du type Zakharov-Shabat, muni d'une structure méromorphe appropriée, amène au modèle classique de Thirring; ce dernier étant de fait la condition d'intégrabilité du précédent système. Résuisant les transformations de Bäcklund génératrices de solitons, les solutions multi-solitons sont dérivées de manière explicite.
    Type of Medium: Electronic Resource
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