Ah. Khater et al., BACKLUND-TRANSFORMATIONS AND EXACT SOLITON-SOLUTIONS FOR NONLINEAR SCHRODINGER-TYPE EQUATIONS, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical a, 113(9), 1998, pp. 1121-1130
Citations number
32
Categorie Soggetti
Physics
Journal title
Nuovo cimento della Societa italiana di fisica. B, Relativity, classical a
Using the Backlund transformations (BTs) and the Darboux-Bargmann tech
nique, we consider the nonlinear Schrodinger-type (NLS-type) equations
(stable, unstable and inhomogeneous NLS equations, i.e. SNLS, UNLS, a
nd IHNLS equations) solvable by the inverse scattering method of Zakha
rov-Shabat/Ablowitz-Kaup-Newell-Segur (ZS/AKNS) system and the ZS/AKNS
wave functions corresponding to the soliton solutions of NLS-type equ
ations. Thus, families of new soliton solutions for NLS-type equations
are obtained.