Spatio-temporal observation of higher-order modulation instability in a recirculating fiber loop

2021 ◽  
Author(s):  
Francois Copie ◽  
Pierre Suret ◽  
Stephane Randoux
Keyword(s):  
Modulation Instability ◽  
Higher Order ◽  
Spatio Temporal ◽  
Fiber Loop

Seeded and spontaneous higher-order modulation instability

2012 ◽  
Author(s):  
M. Erkintalo ◽  
K. Hammani ◽  
B. Kibler ◽  
C. Finot ◽  
N. Akhmediev ◽  
...  
Keyword(s):  
Modulation Instability ◽  
Higher Order

scholarly journals Multi-rogue Wave Solutions for a Generalized Integrable Discrete Nonlinear Schrodinger Equation With Higher-order Excitations

2021 ◽  
Author(s):  
Ma Li-Yuan ◽  
Yang Jun ◽  
Zhang Yan-Li
Keyword(s):  
Modulation Instability ◽  
Rogue Wave ◽  
Order Term ◽  
Higher Order ◽  
Discrete Version ◽  
Nls Equation ◽  
Third Order ◽  
Discrete Nonlinear Schrödinger Equation ◽  
Dynamical Behaviors ◽  
Continuous Waves

Abstract In this paper, we construct the discrete rogue wave(RW) solutions for a higher-order or generalized integrable discrete nonlinear Schr¨odinger(NLS) equation. First, based on the modified Lax pair, the discrete version of generalized Darboux transformation are constructed. Second, the dynamical behaviors of first-, second- and third-order RWsolutions are investigated in corresponding to the unique spectral parameter λ, higher-order term coefficient γ, and free constants dk, fk (k = 1, 2, · · · ,N), which exhibit affluent wave structures. The differences between the RW solution of the higher-order discrete NLS equation and that of the Ablowitz-Ladik(AL) equation are illustrated in figures. Moreover, numerical experiments are explored, which demonstrates that strong-interaction RWs are stabler than the weak-interaction RWs. Finally, the modulation instability of continuous waves is studied.

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