Dispersion and nonlinear management for femtosecond optical solitons

Porsezian, K.; Hasegawa, Akira; Serkin, V. N.; Belyaeva, T. L.; Ramanathan, G.

doi:10.1016/j.physleta.2006.10.022

Cited by 74 publications

(40 citation statements)

References 11 publications

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“…For example, Serkin and his coworkers have proposed a novel method to analyse the nonautonomous soliton equations [66][67][68] and the interaction of solitons in variable coefficient higher order NLS equation have been investigated in detail [65]. Using the results of the above papers and making use of our results in this paper, one can also construct the multi solitons, breathers and rogue wave solutions of the variable coefficient NLS-MB system.…”

Section: Discussionmentioning

confidence: 89%

“…In recent years, considering variable dispersion, variable nonlinearity and variable gain/loss, the investigation of solitons in nonautonomous nonlinear evolution equation equations has also attracted a lot of attention among researchers [65][66][67][68]. For example, Serkin and his coworkers have proposed a novel method to analyse the nonautonomous soliton equations [66][67][68] and the interaction of solitons in variable coefficient higher order NLS equation have been investigated in detail [65].…”

Section: Discussionmentioning

confidence: 99%

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Publisher's Note:N-order bright and dark rogue waves in a resonant erbium-doped fiber system [Phys. Rev. E86, 066603 (2012)]

He¹,

Xu²,

Porsezian³

2013

Phys. Rev. E

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The rogue waves in a resonant erbium-doped fibre system governed by a coupled system of the nonlinear Schrödinger equation and the Maxwell-Bloch equation (NLS-MB equations) are given explicitly by a Taylor series expansion about the breather solutions of the normalized slowly varying amplitude of the complex field envelope E, polarization p and population inversion η. The norder breather solutions of the three fields are constructed using Darboux transformation (DT) by assuming periodic seed solutions. What is more, the n-order rogue waves are given by determinant forms with n + 3 free parameters. Furthermore, the possible connection between our rouge waves and the generation of supercontinuum generation is discussed.

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Section: Discussionmentioning

confidence: 89%

Section: Discussionmentioning

confidence: 99%

Publisher's Note:N-order bright and dark rogue waves in a resonant erbium-doped fiber system [Phys. Rev. E86, 066603 (2012)]

He¹,

Xu²,

Porsezian³

2013

Phys. Rev. E

Self Cite

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“…this constraint some properties such as the multisoliton solutions have been discussed by the autoBäcklund transformation and Darboux transformation method [17,31]. To our knowledge, the investigation of (1) under constraints (14) has not been widespread.…”

Section: And the Exact Dark One Soliton Readsmentioning

confidence: 99%

“…However, the nonlinear tunnelling effects for femtosecond solitons have been hardly investigated until now except that Porsezian et al [31] discussed the in-phase injection interaction through a dispersion barrier (DB). Thus, some interesting issues arise: Whether can optical solitons be controlled in the femtosecond regime?…”

Section: Introductionmentioning

confidence: 99%

Tunnelling Effects of Solitons in Optical Fibers with Higher-Order Effects

Dai¹,

Zhu

Zheng

2012

Zeitschrift Für Naturforschung A

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We construct four types of analytical soliton solutions for the higher-order nonlinear Schrödinger equation with distributed coefficients. These solutions include bright solitons, dark solitons, combined solitons, and M-shaped solitons. Moreover, the explicit functions which describe the evolution of the width, peak, and phase are discussed exactly. We finally discuss the nonlinear soliton tunnelling effect for four types of femtosecond solitons.

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“…The law of soliton adaptation to an external potential has come as a surprise and this law is being today the object of much concentrated attention in the field. The interested reader can find many important results and citations, for example, in the papers published recently by Zhao et al Luo et al, 2009;Zhao et al, 2009;2008), Shin (Shin, 2008) and (Kharif et al, 2009;Porsezian et al, 2007;Yan, 2010). How can we determine whether a given nonlinear evolution equation is integrable or not?…”

Section: Introductionmentioning

confidence: 99%