Novel energy sharing collisions of multicomponent solitons

Kanna, T.; Sakkaravarthi, K.; Vijayajayanthi, M.

doi:10.1007/s12043-015-1091-8

Cited by 15 publications

(11 citation statements)

References 29 publications

(78 reference statements)

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“…B, are constant and no energy conversion because there is a stable soliton structure. The existence of conversion in stable or unstable structure is same to previous study [20,24,[36][37][38]. Besides, the profiles of superposition solitons discover a phenomenon that different effects on periodic wave backgrounds' profile depend on the different types of initial solitons.…”

Section: Envelope-like Soliton Patterns On Periodic Wave Backgroundssupporting

confidence: 83%

Breathers and solitons on two different backgrounds in a generalized coupled Hirota system with four wave mixing

Yang

Zhao

et al. 2018

Physics Letters A

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We study breathers and solitons on different backgrounds in optical fiber system, which is governed by generalized coupled Hirota equations with four wave mixing effect. On plane wave background, a transformation between different types of solitons is discovered. Then, on periodic wave background, we find breather-like nonlinear localized waves of which formation mechanism are related to the energy conversion between two components. The energy conversion results from four wave mixing. Furthermore, we prove that this energy conversion is controlled by amplitude and period of backgrounds. Finally, solitons on periodic wave background are also exhibited. These results would enrich our knowledge of nonlinear localized waves' excitation in coupled system with four wave mixing effect.

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Section: Envelope-like Soliton Patterns On Periodic Wave Backgroundssupporting

confidence: 83%

Breathers and solitons on two different backgrounds in a generalized coupled Hirota system with four wave mixing

Yang

Zhao

et al. 2018

Physics Letters A

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“…Following this, multisoliton interactions in various multicomponent CNLS type systems including the Manakov system have been studied in Refs. [21,23,24]. These Manakov bright solitons have been experimentally realized in Al x Ga 1−x As waveguides [25] and their energy sharing collision has also been experimentally demonstrated [26].…”

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confidence: 89%

Harnessing energy-sharing collisions of Manakov solitons to implement universal NOR and OR logic gates

Vijayajayanthi

Kanna²,

Murali

et al. 2018

Phys. Rev. E

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The energy-sharing collision of bright optical solitons in the Manakov system, governing pulse propagation in high birefringent fiber, is employed theoretically to realize optical logic gates. In particular, we successfully construct (theoretically) the universal NOR gate and the OR gate from the energy-sharing collisions of just four bright solitons which can be well described by the exact bright four-soliton solution of the Manakov system. This construction procedure has important merits such as realizing the two input gates with a minimal number of soliton collisions and possibilities of multistate logic. The recent experiments on Manakov solitons suggest the possibility of implementation of this theoretical construction of such gates and ultimately an all-optical computer.

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“…In particular, these studies considered interaction between solitons/solitary waves in the NLS and NLS-like equations [43,44,45,46]. The multicomponent versions of these scalar NLS type equations support bright solitons with interesting shape changing (energy sharing/switching) collisions [47,48,49,50,51]. These interesting energy sharing collisions find applications in the context of realizing gates based on soliton collisions [52,53,54,55,56].…”

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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Novel energy sharing collisions of multicomponent solitons

Abstract: Abstract. In this paper, we discus the fascinating energy sharing collisions of multicomponent solitons in certain incoherently coupled and coherently coupled nonlinear Schrödinger type equations arising in the context of nonlinear optics.

Cited by 15 publications

References 29 publications

Breathers and solitons on two different backgrounds in a generalized coupled Hirota system with four wave mixing

Breathers and solitons on two different backgrounds in a generalized coupled Hirota system with four wave mixing

Harnessing energy-sharing collisions of Manakov solitons to implement universal NOR and OR logic gates

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

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