Inverse Scattering Transform and the Theory of Solitons
نویسنده
چکیده
Scattering data The scattering data associated with a LODE usually consists of a reflection coefficient which is a function of the spectral parameter λ, a finite number of constants λj that correspond to the poles of the transmission coefficient in the upper half complex plane, and the bound-state norming constants whose number for each bound-state pole λj is the same as the order of that pole. It is desirable that the potential in the LODE is uniquely determined by the corresponding scattering data and vice versa.
منابع مشابه
Inverse scattering transform analysis of Stokes-anti-Stokes stimulated Raman scattering.
Zakharov-Shabat–Ablowitz-Kaup-Newel-Segur (ZS–AKNS) representation for Stokes-anti-Stokes stimulated Raman scattering (SRS) is proposed. Periodical waves, solitons and self-similarity solutions are derived. Transient and bright threshold solitons are discussed. December 29, 1994 Sofia
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