2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142428We survey and discuss the applications of the non-linear integral equation in the framework of the Bethe Ansatz type equations which are conjectured to give the eigenvalues of the dilatation operator in ${\cal {N}}=4$ SYM. Moreover, an original idea (different from that of \cite {FMQR}) to derive a non-linear integral equation is briefly depicted in Section 4.RAQIS '07 Prooceedings Contribution with some new resultsHigh Energy Physics - Theorytext