Amplification, reshaping, fission and annihilation of optical solitons in dispersion-decreasing fiber

Yang, Chunyu; Li, Wenyi; Yu, Weitian; Liu, Mengli; Zhang, Yujia; Ma, Guoli; Lei, Ming; Liu, Wenjun

doi:10.1007/s11071-018-4049-9

Cited by 68 publications

(20 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Step Fourier Method, the Hirota method [4,5], the Darboux transformation based on the Lax pair [6], the ansatz method [7], the Backlund transformation [8], the inverse scattering method [9], and so on.…”

Section: C T T a Z T A T T E -⋅ ⋅ = = ⋅mentioning

confidence: 99%

“…The obvious solution consists in separating adjacent solitons by more than six times the tem poral width of the pulse, but since exceeding the threshold/ limits is necessary, one cannot rely on the time interval. So the researchers proposed several solutions to avoid the collisions, such as the injection of solitons with different amplitudes [10], the introduction of Raman effect [11], the introduction of the third order dispersion, the good choice of the phase and many others among which we quote [4,12,13]. Thus, the suppres sion of the solitonic collisions using the chirp [14] has never been considered before.…”

Section: C T T a Z T A T T E -⋅ ⋅ = = ⋅mentioning

confidence: 99%

See 1 more Smart Citation

Effect of the chirp on interactions of pure-chirped solitons

Khelil¹,

Saouchi²,

Behloul³

2020

Nauk. visn. nat. hirn. univ.

View full text Add to dashboard Cite

Purpose. To study the effect of the chirp on solitons interaction. Methodology. To assess the influence of the chirp on solitons interaction, our study is focused on fundamental solitons mod elled by the famous Nonlinear Schrodinger Equation (NLSE) and simulated using Fast Fourier Transform. Firstly, we discuss the influence of the chirp by setting different values of group velocity dispersion (GVD) of one fundamental soliton. Secondly, we in troduce the chirp on two fundamental solitons close enough to create Kerrinduced nonlinearity and in the absence of GVD we study its impact on their interaction. Finally, we apply the chirp for two fundamental solitons with different phases, amplitudes and order of solitons to compare its impact on interactions in all cases possible.findings. The chirp is useful to delete the interactions in the absence of GVD. originality. The originality is to use the chirp without GVD to separate two solitons that are subject to attraction or repulsion.Practical value. This study illustrates that with the parameter of the group velocity dispersion b 2 = -25 ps 2 /km and a chirp pa rameter equal to C 1 = 0.5 or C 2 = -0.5 (C 1 , C 2 are the chirp coefficients of the first and the second solitons respectively) an addi tional periodic compression is obtained. Later, we gradually decrease the GVD until its nullification; here we find a regular com pression instead of the periodic one. Lastly, we study the influence of the chirp parameter on two adjacent fundamental solitons for the chirp parameter C = 2, 3 and 4 with different values of the bit rate t = 2 and 3. Finally, we vary the initial parameters of the solitons such as the phase, the amplitude and the order of the solitons.

show abstract

Section: C T T a Z T A T T E -⋅ ⋅ = = ⋅mentioning

confidence: 99%

Section: C T T a Z T A T T E -⋅ ⋅ = = ⋅mentioning

confidence: 99%

Effect of the chirp on interactions of pure-chirped solitons

Khelil¹,

Saouchi²,

Behloul³

2020

Nauk. visn. nat. hirn. univ.

View full text Add to dashboard Cite

show abstract

“…Nonlinear Schrödinger equations (NLSEs) become one of vital nonlinear models 21–23 to explain and govern real issues in engineering and physical contexts 21,22 . A vast variety of methods have been developed to obtain exact solutions of NLSE, and various analytical solutions were found by using the similarity transformation, bilinear method, ansatz method, Darboux method, and so on 23–26 …”

Section: Introductionmentioning

confidence: 99%

Fractional traveling wave solutions of the (2 + 1)‐dimensional fractional complex Ginzburg–Landau equation via two methods

Wang

Dai

2020

Math Methods in App Sciences

View full text Add to dashboard Cite

A (2 + 1)‐dimensional fractional complex Ginzburg–Landau equation is solved via fractional Riccati method and fractional bifunction method, and exact traveling wave solutions including soliton solution and combined soliton solutions are constructed based on Mittag–Leffler function. A series of fractional orders is used to demonstrate the graphical representation and physical interpretation of the resulting solutions. The role of the fractional order is revealed.

show abstract

“…6,7 Some recent applications of bright and dark solitons in optics and dispersive media can be found in previous works. [8][9][10][11][12][13][14][15][16][17] Of particular interest, the properties of optical solitons have been recently used to validate the parity-time symmetry in optics, 18 which means invariance under parity and time-reversal transformations in quantum mechanics. 19 The experimental proof proportioned in Rüter et al 18 is based on the formal equivalence between some dynamical equations in optics and the Schrödinger equation in quantum mechanics.…”

Section: Introductionmentioning

confidence: 99%

“…Solutions for repulsive nonlinearities, known as dark optical solitons, are also available and useful 6,7 . Some recent applications of bright and dark solitons in optics and dispersive media can be found in previous works 8‐17 . Of particular interest, the properties of optical solitons have been recently used to validate the parity‐time symmetry in optics, 18 which means invariance under parity and time‐reversal transformations in quantum mechanics 19 …”

Section: Introductionmentioning

confidence: 99%

Superpositions of bright and dark solitons supporting the creation of balanced gain‐and‐loss optical potentials

Rosas-Ortiz

Cruz

2020

Math Methods in App Sciences

View full text Add to dashboard Cite

Bright and dark solitons of the cubic nonlinear Schrödinger equation are used to construct complex‐valued potentials with all‐real spectrum. The real part of these potentials is equal to the intensity of a bright soliton, whereas their imaginary part is defined by the product of such soliton with its concomitant, a dark soliton. Considering light propagation in Kerr media, the real part of the potential refers to the self‐focusing of the signal and the imaginary one provides the system with balanced gain‐and‐loss rates.

show abstract

Amplification, reshaping, fission and annihilation of optical solitons in dispersion-decreasing fiber

Cited by 68 publications

References 50 publications

Effect of the chirp on interactions of pure-chirped solitons

Effect of the chirp on interactions of pure-chirped solitons

Fractional traveling wave solutions of the (2 + 1)‐dimensional fractional complex Ginzburg–Landau equation via two methods

Superpositions of bright and dark solitons supporting the creation of balanced gain‐and‐loss optical potentials

Contact Info

Product

Resources

About