Title
Modulation instability, rogue waves and spectral analysis for the sixth-order nonlinear Schrodinger equation
Abstract
•High-order dispersion terms affect the distribution of the MS regime, n-order dispersion term corresponds to n-2 modulation stability curves.•Parameter a determines the deflection direction, deflection angle and width of rogue wave solution, while δ6 determines the width and amplitude.•Based on the spectral analysis, rogue waves can be reduced to W-shaped soliton, so N-order rogue waves corresponds to N-order W-shaped solitons.•Arbitrary parameters a and δ6 affect the spectrum of first-order solution for the sixth-order nonlinear Schrödinger equation.•Whether spectral analysis method or MI method, their transition condition from rogue wave to W-shaped soliton is consistent.
Year
DOI
Venue
2020
10.1016/j.cnsns.2020.105284
Communications in Nonlinear Science and Numerical Simulation
Keywords
DocType
Volume
Nonlinear Schrödinger equation,Modulation instability,Rogue wave,Darboux transformation
Journal
89
ISSN
Citations 
PageRank 
1007-5704
0
0.34
References 
Authors
5
3
Name
Order
Citations
PageRank
Yunfei Yue100.34
Lili Huang200.34
Yong Chen3750118.44