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Bäcklund Transformation and N‐Soliton Solution for the Generalized Nonlinear Schrödinger Equation
Author(s) -
Eichhorn H.
Publication year - 1987
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19874990404
Subject(s) - transformation (genetics) , soliton , mathematical physics , nonlinear system , physics , nonlinear schrödinger equation , schrödinger's cat , quantum mechanics , biochemistry , chemistry , gene
For the generalized nonlinear Schrödinger equation, the N‐fold Bäcklund transformation is derived. As particular results, the explicit 1‐soliton solution is obtained and the interaction of two solitons is discussed.