Soliton interactions for coupled nonlinear Schrödinger equations with symbolic computation

Liu, Wenjun; Pan, Nan; Huang, Linda; Lei, Ming

doi:10.1007/s11071-014-1474-2

Cited by 16 publications

(12 citation statements)

References 36 publications

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“…More different from managing solitons by fitting their initial physical nature, recently, Wen-Jun Liu et al aims on fitting parameters to the transmitting fiber, where he picture that the interaction could be controlled by varying dispersion and nonlinear parameter of the fiber. [20][21][22] Following W.J. Liu, we already noted the soliton interaction in 100 Gbps system implemented with various telecom fibers (SMF, LEAF, TRUEWAVE, and TERALIGHT) to study the system performance with different dispersion and nonlinear parameter.…”

Section: Discussionmentioning

confidence: 99%

“…Because, these nonlinear effects has the basic effect of shifting the soliton pulses, which can once again disturb the location of I p . The shifting of the soliton pulses can be understood by "Method of Moments" 33 shown in Equation 21.…”

Section: Gbps Single-channel Telecommunication System Setupmentioning

confidence: 99%

“…Ting Sen Ku et al and Ming‐Feng Shih et al explain the avoidance of collision by implementing partially incoherent solitons, where coherence stays as the controlling parameter of interaction. More different from managing solitons by fitting their initial physical nature, recently, Wen‐Jun Liu et al aims on fitting parameters to the transmitting fiber, where he picture that the interaction could be controlled by varying dispersion and nonlinear parameter of the fiber . Following W.J.…”

Section: Introductionmentioning

confidence: 99%

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Study on soliton phase characteristics in 100 Gbps single‐channel telecommunication system

Naicker

Jawahar

Radha

2017

Int J Communication

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Summary Here, we demonstrate the peculiar particle nature of soliton pulses with relative to phase, where the adjacent soliton pulses in a sequence attract and repel each other periodically for in‐phase and out‐of‐phase arrangement, respectively. This effect of soliton's interaction and repulsion is studied analytically by using perturbation theory approach. The study of soliton pair characteristics are mainly noted for different relative spacing (qo) between them and for different phase of launched soliton pulses. Following the analytical studies, we analyzed the effect in a 100 Gbps, single channel and uncompensated telecommunication system for different phased soliton sequences. Such that, the performance of the telecommunication system is characterized in terms of Q‐factor (Q) and bit‐error rate to realize the influence of phase on soliton pulses. The system was studied for 1 collision length (LD) of 123.36 km. It is seen that, for 100 Gbps system implemented with standard single mode telecom fiber, with soliton spaced at qo = 5.28, the in‐phase pulses interacted at 61.68 km, which has resulted in Q = 0 (bit‐error rate = 1). It is realized that for small‐phase introduction on soliton pulses, the system yielded fair Q demonstrating the non‐interaction at the Ip as the pulses deviate with respect to increasing phase values. But, it is also shown that large phase between pulses introduces more deviation, which results in overlapping of deviated pulses with adjacent pulses in sequence resulting in degradation of high bitrate system performance.

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Section: Discussionmentioning

confidence: 99%

Section: Gbps Single-channel Telecommunication System Setupmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Study on soliton phase characteristics in 100 Gbps single‐channel telecommunication system

Naicker

Jawahar

Radha

2017

Int J Communication

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“…During the past decades, considerable research interest has been focused on the nonlinear Schrödinger (NLS) equation, which describes the propagation of optical solitons in a mono-mode fiber for the scalar field [1][2][3][4][5][6][7][8][9][10][11][12], and the principle of such scalar NLS soliton is R. Guo based on the balance between the group velocity dispersion (GVD) and self-phase modulation (SPM) [1]. In view of the nonlinear phase change resulting from the cross-phase modulation(XPM) in the birefringent fibers or multi-mode fibers, one must consider interactions of several field components at different frequencies or polarizations, and the dynamic features of such solitons are usually governed by the coupled nonlinear Schrödinger (CNLS) systems [1].…”

Section: Introductionmentioning

confidence: 99%

“…In view of the nonlinear phase change resulting from the cross-phase modulation(XPM) in the birefringent fibers or multi-mode fibers, one must consider interactions of several field components at different frequencies or polarizations, and the dynamic features of such solitons are usually governed by the coupled nonlinear Schrödinger (CNLS) systems [1]. Owing to the multicomponent nature, the shape-preserving solutions for CNLS systems are called vector soliton, and many research achievements about vector solitons have been reported in recent years [7,8].…”

Section: Introductionmentioning

confidence: 99%

Coherently coupled solitons, breathers and rogue waves for polarized optical waves in an isotropic medium

et al. 2015

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Under investigation in this paper is a coherently coupled nonlinear Schrödinger system which describes the propagation of polarized optical waves in an isotropic medium. By virtue of the Darboux transformation, some new solutions have been generated on the vanishing and non-vanishing backgrounds, including multi-solitons, bound solitons, one-breathers, bound breathers, two-breathers, first-order and higher-order rogue waves. Dynamic behaviors of those solitons, breathers and rogue waves have been discussed through graphic simulation.

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Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrödinger equation

2017

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Soliton interactions for coupled nonlinear Schrödinger equations with symbolic computation

Cited by 16 publications

References 36 publications

Study on soliton phase characteristics in 100 Gbps single‐channel telecommunication system

Study on soliton phase characteristics in 100 Gbps single‐channel telecommunication system

Coherently coupled solitons, breathers and rogue waves for polarized optical waves in an isotropic medium

Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrödinger equation

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