BACKLUND-TRANSFORMATIONS AND EXACT SOLITON-SOLUTIONS FOR NONLINEAR SCHRODINGER-TYPE EQUATIONS

Authors
KHATER AH CALLEBAUT DK ELKALAAWY OH
Citation
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
ISSN journal
11241888 → ACNP
Volume
113
Issue
9
Year of publication
1998
Pages
1121 - 1130
Database
ISI
SICI code
1124-1888(1998)113:9<1121:BAESFN>2.0.ZU;2-L
Abstract
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.