Title | ||
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Modulation instability, rogue waves and spectral analysis for the sixth-order nonlinear Schrodinger equation |
Abstract | ||
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•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 |
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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 Yue | 1 | 0 | 0.34 |
Lili Huang | 2 | 0 | 0.34 |
Yong Chen | 3 | 750 | 118.44 |