General N-soliton solution to a vector nonlinear Schrödinger equation

We consider a general N-soliton solution to a vector nonlinear Schrödinger (NLS) equation of all possible combinations of nonlinearities including all-focusing, all-defocusing and mixed types. Based on the KP hierarchy reduction method, we firstly construct general two-bright-one-dark and one-bright...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2014-09, Vol.47 (35), p.355203-22
Main Author: Feng, Bao-Feng
Format: Article
Language:English
Subjects:
bright-dark soliton
Construction
Determinants
Hierarchies
KP-hierarchy reduction method
Mathematical analysis
Nonlinearity
Schroedinger equation
Solitons
tau-function
vector nonlinear Schrödinger equation
Vectors (mathematics)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider a general N-soliton solution to a vector nonlinear Schrödinger (NLS) equation of all possible combinations of nonlinearities including all-focusing, all-defocusing and mixed types. Based on the KP hierarchy reduction method, we firstly construct general two-bright-one-dark and one-bright-two-dark soliton solutions in a three-coupled NLS equation, then we extend our analysis to a vector NLS equation to obtain a general N-soliton solution in Gram determinant form. This formula unifies the bright, dark and bright-dark soliton solutions, which have been widely studied in the literature. The conditions for the existence of all types of soliton solutions with all possible combinations of nonlinearities are elucidated.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/47/35/355203