Analytical and numerical demonstration of phase characteristics on two solitons under the influence of third-order dispersion

Udaiyakumar, R.; Ali, Naim Ben; Naicker, Bhupeshwaran Mani; Rajan, M.S. Mani; Yupapin, P.; Amiri, Iraj Sadegh

doi:10.1007/s11082-019-1879-8

Cited by 7 publications

(1 citation statement)

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“…In split-step Fourier method, the governing equation is splitted into two parts generally, namely the linear and nonlinear part [72][73][74]. Based on [74], we split the nonlinear part of equation (3) as…”

Section: Numerical Simulationmentioning

confidence: 99%

Transition mechanisms of breather molecules in the Hirota equation

et al. 2023

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The transition dynamics of the breather molecules are investigated for the Hirota equation, which describes the propagation of ultrashort optical pulses in optical ﬁbers. Based on the two-breather solution, the breather molecules and breather complexes are obtained. The half-transition mechanism of the breather molecules is unveiled and a series of the transformed wave molecules and the corresponding complexes are generated. The super-position mechanisms of breather molecules and transformed wave molecules are explained through the nonlinear superposition principle. It should be noted that the full transition of the breather molecules does not exist in the Hirota equation. The eﬀects of the phase parameters on the transformed wave molecules are discussed. Besides, the collisions for breather molecules and transformed wave molecules are investigated. The distances between atoms in the molecules and the shapes of the transformed waves are changed after the collisions. By means of the phase shift analysis, the nature of shape-changed collisions is shed light on. Finally, the stability of the propagation of molecule waves under small perturbations is performed.

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