Multiple-pole soliton interactions in optical fibres with higher-order effects

Lai, Derek W. C.; Chow, KW; Nakkeeran, K.

doi:10.1080/09500340310001620484

Cited by 7 publications

(5 citation statements)

References 10 publications

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“…The implication of such criteria has really helped to overcome multiple issues like pulse distortion, deteriorations of the data transmission and synchronization in the high-bit-rate systems. In general, interaction of solitons can be classified into two main categories as coherent and incoherent based on their relative phases [40,41]. In practice, the coherent type of interactions takes place when the interference effects between the overlapping beams are taken into account.…”

Section: Scattering Dynamics Of Bright Solitary Waves In the Nnls Systemmentioning

confidence: 99%

On the integrability aspects of nonparaxial nonlinear Schrödinger equation and the dynamics of solitary waves

2020

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The integrability nature of a nonparaxial nonlinear Schrödinger (NNLS) equation, describing the propagation of ultra-broad nonparaxial beams in a planar optical waveguide, is studied by employing the Painlevé singularity structure analysis. Our study shows that the NNLS equation fails to satisfy the Painlevé test. Nevertheless, we construct one bright solitary wave solution for the NNLS equation by using the Hirota's direct method. Also, we numerically demonstrate the stable propagation of the obtained bright solitary waves even in the presence of an external perturbation in a form of white noise. We then numerically investigate the coherent interaction dynamics of two and three bright solitary waves. Our study reveals interesting energy switching among the colliding solitary waves due to the nonparaxiality.

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Section: Scattering Dynamics Of Bright Solitary Waves In the Nnls Systemmentioning

confidence: 99%

On the integrability aspects of nonparaxial nonlinear Schrödinger equation and the dynamics of solitary waves

2020

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“…The higher-order pole soliton solutions can be derived from single pole-soliton solutions through limit procedures [29]. There are lot of researches were reported for the higher-order pole solitons in the local equations [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46], which focus on the long time asymptotic behaviours and interaction properties of the higher-order pole solitons. However, related results on higher-order pole solitons are scarce for the nonlocal equations.…”

Section: Introductionmentioning

confidence: 99%

Bright–dark solitons in the space-shifted nonlocal coupled nonlinear Schrödinger equation

Ren

Rao

2022

Nonlinear Dyn

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Multiple bright-dark soliton solutions in terms of determinants for the space-shifted nonlocal coupled nonlinear Schrödinger (CNLS) equation are constructed by using the bilinear (Kadomtsev-Petviashvili) KP hierarchy reduction method. It is found that the bright-dark two-soliton only occur elastic collisions. Upon their amplitudes, the bright two solitons only admit one pattern whose amplitude are equal, and the dark two solitons have three different non-degenerated patterns and two different degenerated patterns. The bright-dark four-soliton is the superposition of the two-soliton pairs and can generated bound-state solitons. The multiple double-pole bright-dark soliton solutions are generated through the long wave limit of the obtained bright-dark soliton solutions, and their collision dynamics are also investigated.

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“…These vector multi-hump solitons are useful applied in optical communications and other physical fields [46][47][48][49]. Additionally, another obvious difference lies in the multipole solitons [50][51][52][53][54][55][56][57][58][59][60]. In the standard NLSE the collisions of the multipole solitons are elastic, featuring soliton intensities unaltered before and after collision [56].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of degenerate and nondegenerate solitons in the two-component nonlinear Schrödinger equations coupled to Boussinesq equation

2022

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The paper studies the dynamics of degenerate and nondegenerate bright solitons and their collisions in the two-component nonlinear Schrödinger equations coupled to Boussinesq equation. The degenerate solitons that have only singlehump profiles, exhibit both elastic and inelastic collisions, and their velocities are identical in the two short wave (SW) components and in the long wave (LW) component. The nondegenerate single solitons have two different forms: one of them has double-or single-hump profiles and identical velocities in all SW and LW components, and the other one only admits single-hump profiles and has unequal velocities in the two SW components. The collisions of nondegenerate solitons cannot result in the redistribution of soliton intensities. Three different types of collisions of nondegenerate two-soliton solutions are studied in detail. KeywordsNondegenerate solitons • Soliton collisions • Two-component nonlinear Schrödinger equations coupled to Boussinesq equation • Bilinear KP-reduction method.

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Multiple-pole soliton interactions in optical fibres with higher-order effects

Cited by 7 publications

References 10 publications

On the integrability aspects of nonparaxial nonlinear Schrödinger equation and the dynamics of solitary waves

On the integrability aspects of nonparaxial nonlinear Schrödinger equation and the dynamics of solitary waves

Bright–dark solitons in the space-shifted nonlocal coupled nonlinear Schrödinger equation

Dynamics of degenerate and nondegenerate solitons in the two-component nonlinear Schrödinger equations coupled to Boussinesq equation

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