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On the nonlinear Fourier transform associated with periodic AKNS-ZS systems and its inverse
Saksida, Pavle
V članku obravnavamo nelinearno Fourierovo transformacijo ▫$\mathcal{F}$▫, povezano z integrabilnimi nelinearnimi parcialnimi diferencialnimi enačbami tipa AKNS-ZS. Dokažemo, da je ▫$\mathcal{F}$▫ ...realno analitičen operator in da ima realno analitičen lokalni inverz v okolici izhodišča. Konstruiramo konvergentno iterativno shemo, s pomočjo katere lahko izračunamo inverz ▫${\mathcal{F}}^{-1}$▫ poljubno natančno.
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