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1

BISWAS, ANJAN. "DISPERSION-MANAGED SOLITONS IN OPTICAL COUPLERS." Journal of Nonlinear Optical Physics & Materials 12, no. 01 (March 2003): 45–74. http://dx.doi.org/10.1142/s0218863503001201.

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The soliton perturbation theory is employed to study chirped solitons that propagate through optical couplers and is governed by the dispersion-managed nonlinear Schrödinger's equation. Here, in this paper, we have considered both kinds of couplers namely twin-core as well as the multiple-core type. In either case, both Gaussian and super-Gaussian solitons are taken into account.
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2

Park, N. "Ultrafast fiber laser delivering conservative, dispersion-managed, and dissipative solitons." Modern Physics Letters B 34, no. 13 (February 18, 2020): 2050133. http://dx.doi.org/10.1142/s021798492050133x.

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A thulium-doped fiber laser, delivering the temporal solitons, has been proposed with a carbon nanotubes saturable absorber. By adjusting the dispersion design in the laser cavity, the proposed laser can generate three types of solitons, which are conservative soliton (CS), dispersion-managed soliton (DMS), and dissipative soliton (DS), respectively. The experimental results show that, for the first time to the best of our knowledge, the autocorrelation traces of CS, DMS, and DS are in good agreement with hyperbolic secant curve, Gaussian curve, and super-Gaussian curve, respectively. DS with the broad spectral bandwidth of 45.3 nm is emitted from the cavity while the dispersion is adjusted to 0.005 ps2.
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3

Grigoryan, V. S., T. Yu, E. A. Golovchenko, C. R. Menyuk, and A. N. Pilipetskii. "Dispersion-managed soliton dynamics." Optics Letters 22, no. 21 (November 1, 1997): 1609. http://dx.doi.org/10.1364/ol.22.001609.

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4

KOHL, RUSSELL, DANIELA MILOVIC, ESSAID ZERRAD, and ANJAN BISWAS. "SOLITON PERTURBATION THEORY FOR DISPERSION-MANAGED OPTICAL FIBERS." Journal of Nonlinear Optical Physics & Materials 18, no. 02 (June 2009): 227–70. http://dx.doi.org/10.1142/s0218863509004592.

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This paper studies the propagation of solitons through optical fibers with dispersion management. The adiabatic variation of the soliton parameters, due to the presence of perturbation terms, is obtained. The dynamics is studied for the case of polarization-preserving fibers, while the types of pulses that are considered here are Gaussian, super-Gaussian and supersech. The perturbation terms that are taken into consideration are both local and nonlocal.
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5

TODA, Hiroyuki. "Dispersion Managed Optical Soliton Transmission." Review of Laser Engineering 24, no. 6 (1996): 656–62. http://dx.doi.org/10.2184/lsj.24.656.

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6

Cautaerts, Vincent, Akihiro Maruta, and Yuji Kodama. "On the dispersion managed soliton." Chaos: An Interdisciplinary Journal of Nonlinear Science 10, no. 3 (September 2000): 515–28. http://dx.doi.org/10.1063/1.1286262.

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7

Li, Biao. "Exact Soliton Solutions To An Averaged Dispersion-Managed Fiber System Equation." Zeitschrift für Naturforschung A 59, no. 12 (December 1, 2004): 919–26. http://dx.doi.org/10.1515/zna-2004-1205.

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By introducing a set of ordinary differential equations which possess q-deformed hyperbolic function solutions, and a new ansatz, a method is developed for constructing a series of exact analytical solutions of some nonlinear evolution equations. The proposed method is more powerful than various tanh methods, the secq-tanhq-method, generalized hyperbolic-function method, generalized Riccati equation expansion method, generalized projective Riccati equations method and other sophisticated methods. As an application of the method, an averaged dispersion-managed (DM) fiber system equation, which governs the dynamics of the core of the DM soliton, is chosen to illustrate the method. With the help of symbolic computation, rich new soliton solutions are obtained. From these solutions, some previously known solutions obtained by some authors can be recovered by means of some suitable choices of the arbitrary functions and arbitrary constants. Further, the soliton propagation and solitons interaction scenario are discussed and simulated by computer.
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8

Chen, Y., and H. A. Haus. "Collisions in dispersion-managed soliton propagation." Optics Letters 24, no. 4 (February 15, 1999): 217. http://dx.doi.org/10.1364/ol.24.000217.

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9

Georges, Thierry. "Soliton interaction in dispersion-managed links." Journal of the Optical Society of America B 15, no. 5 (May 1, 1998): 1553. http://dx.doi.org/10.1364/josab.15.001553.

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10

Richardson, L. J., W. Forysiak, and N. J. Doran. "Dispersion-managed soliton propagation in short-period dispersion maps." Optics Letters 25, no. 14 (July 15, 2000): 1010. http://dx.doi.org/10.1364/ol.25.001010.

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11

Lushnikov, P. M. "Dispersion-managed soliton in a strong dispersion map limit." Optics Letters 26, no. 20 (October 15, 2001): 1535. http://dx.doi.org/10.1364/ol.26.001535.

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12

DIAZ-OTERO, FRANCISCO J., and PEDRO CHAMORRO-POSADA. "MULTICHANNEL SOLITON COLLISIONS IN STRONGLY DISPERSION MANAGED WDM TRANSMISSION SYSTEMS." Journal of Nonlinear Optical Physics & Materials 21, no. 03 (September 2012): 1250034. http://dx.doi.org/10.1142/s0218863512500348.

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We study the collision-induced timing jitter of optical solitons in dispersion managed wavelength-division multiplexed communication systems. The work presented here is an extension of previous analyzes of two-pulse interactions to the multiple channel case. The numerical study is based on a system of ordinary differential equations obtained using a variational approach that models the evolution of the main parameters of the propagating pulses. We explain the mechanism associated with inter-channel interactions and study the evolution of multiplexed soliton trains and the resulting frequency shift induced jitter as the map strength is varied. The results obtained indicate a strong dependence of the frequency shifts on the position of the channel within the multiplex and the existence of patterns for the frequency shifts that depend on the parity of the number of channels.
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13

Paré, C., and P. A. Bélanger. "Antisymmetric soliton in a dispersion-managed system." Optics Communications 168, no. 1-4 (September 1999): 103–9. http://dx.doi.org/10.1016/s0030-4018(99)00337-5.

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14

Poutrina, E., and Govind P. Agrawal. "Design rules for dispersion-managed soliton systems." Optics Communications 206, no. 1-3 (May 2002): 193–200. http://dx.doi.org/10.1016/s0030-4018(02)01391-3.

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15

Yu, T., E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk. "Dispersion-managed soliton interactions in optical fibers." Optics Letters 22, no. 11 (June 1, 1997): 793. http://dx.doi.org/10.1364/ol.22.000793.

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16

Lushnikov, Pavel M. "Oscillating tails of a dispersion-managed soliton." Journal of the Optical Society of America B 21, no. 11 (November 1, 2004): 1913. http://dx.doi.org/10.1364/josab.21.001913.

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17

Boudjemâa, Abdelâali. "Many-soliton bound states in dispersion-managed optical fiber: Possibility of fiber-optic transmission of three bits per clock period." International Journal of Modern Physics B 31, no. 26 (October 17, 2017): 1750178. http://dx.doi.org/10.1142/s0217979217501788.

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We study the stability and the dynamics of many-soliton molecules in dispersion-managed (DM) optical fibers with focus on five-and seven-soliton molecules by analytical and numerical means. In particular we calculate the binding force, pulse durations and equilibrium separations using a variational approach. Predicted pulse shapes are in good agreement with those found by numerical simulations of the underlying nonlinear Schrödinger equation. Within limitations, soliton molecules with up to seven solitons possibly allow to encode three bits of data per clock period.
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18

Takushima, Y., T. Douke, and K. Kikuchi. "Influence of polarisation-mode dispersion on soliton interaction in dispersion-managed soliton transmission systems." Electronics Letters 37, no. 13 (2001): 849. http://dx.doi.org/10.1049/el:20010566.

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19

Chen, Peter Y. P., Boris A. Malomed, and Pak L. Chu. "Soliton stability against polarization-mode-dispersion in dispersion-managed systems." Optics Communications 281, no. 8 (April 2008): 2301–8. http://dx.doi.org/10.1016/j.optcom.2007.12.026.

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20

Lushnikov, P. M. "Dispersion-managed soliton in optical fibers with zero average dispersion." Optics Letters 25, no. 16 (August 15, 2000): 1144. http://dx.doi.org/10.1364/ol.25.001144.

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21

Abdullaev, F. Kh, and D. V. Navotny. "Dispersion-managed soliton propagation in optic fibers with random dispersion." Technical Physics Letters 28, no. 11 (November 2002): 942–44. http://dx.doi.org/10.1134/1.1526891.

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22

Xie, Chongjin, H. Sunnerud, M. Karlsson, and P. A. Andrekson. "Polarisation-mode dispersion induced outages in dispersion-managed soliton systems." Electronics Letters 37, no. 24 (2001): 1472. http://dx.doi.org/10.1049/el:20010998.

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23

Zhang, X., M. Karlsson, P. Andrekson, and K. Bertilsson. "Impact of polarisation-mode dispersion in dispersion-managed soliton systems." Electronics Letters 34, no. 11 (1998): 1122. http://dx.doi.org/10.1049/el:19980746.

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24

Diaz-Otero, Francisco J., and Pedro Chamorro-Posada. "Propagation properties of strongly dispersion-managed soliton trains." Optics Communications 285, no. 2 (January 2012): 162–70. http://dx.doi.org/10.1016/j.optcom.2011.08.052.

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25

Kumar, Shiva, and Akira Hasegawa. "Quasi-soliton propagation in dispersion-managed optical fibers." Optics Letters 22, no. 6 (March 15, 1997): 372. http://dx.doi.org/10.1364/ol.22.000372.

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26

Kumar, Shiva, and Falk Lederer. "Gordon–Haus effect in dispersion-managed soliton systems." Optics Letters 22, no. 24 (December 15, 1997): 1870. http://dx.doi.org/10.1364/ol.22.001870.

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27

Kumar, Shiva, Matthias Wald, Falk Lederer, and Akira Hasegawa. "Soliton interaction in strongly dispersion-managed optical fibers." Optics Letters 23, no. 13 (July 1, 1998): 1019. http://dx.doi.org/10.1364/ol.23.001019.

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28

Romagnoli, Marco, Luciano Socci, Michele Midrio, Pierluigi Franco, and Thierry Georges. "Long-range soliton interactions in dispersion-managed links." Optics Letters 23, no. 15 (August 1, 1998): 1182. http://dx.doi.org/10.1364/ol.23.001182.

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29

Tonello, A., A. D. Capobianco, S. Wabnitz, O. Leclerc, B. Dany, and E. Pincemin. "Stability and optimization of dispersion-managed soliton control." Optics Letters 25, no. 20 (October 15, 2000): 1496. http://dx.doi.org/10.1364/ol.25.001496.

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30

Maruta, A., Y. Nonaka, and T. Inoue. "Symmetric bi-soliton solution in dispersion-managed system." Electronics Letters 37, no. 22 (2001): 1357. http://dx.doi.org/10.1049/el:20010902.

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31

Hasegawa, Akira, Yuji Kodama, and Akihiro Maruta. "Recent Progress in Dispersion-Managed Soliton Transmission Technologies." Optical Fiber Technology 3, no. 3 (July 1997): 197–213. http://dx.doi.org/10.1006/ofte.1997.0227.

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32

Luo, Yiyang, Yang Xiang, Bowen Liu, Yingxiong Qin, Qizhen Sun, Xiahui Tang, and Perry Ping Shum. "Dispersion-Managed Soliton Molecules in a Near Zero-Dispersion Fiber Laser." IEEE Photonics Journal 10, no. 6 (December 2018): 1–10. http://dx.doi.org/10.1109/jphot.2018.2874949.

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33

Parmar, Gurkirpal Singh, Rajib Pradhan, B. A. Malomed, and Soumendu Jana. "Dispersion-managed soliton fiber laser with random dispersion, multiphoton absorption and gain dispersion." Journal of Optics 20, no. 10 (September 7, 2018): 105501. http://dx.doi.org/10.1088/2040-8986/aadbbd.

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34

Wang, Xu-De, Meng-Qiu Sun, Si-Min Yang, Jie-Yu Pan, and Su-Wen Li. "Broadband Dispersion-Managed Dissipative Soliton and Structural Soliton Molecules in a Slight-Normal Dispersion Fiber Laser." IEEE Photonics Journal 12, no. 6 (December 2020): 1–10. http://dx.doi.org/10.1109/jphot.2020.3031356.

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35

BISWAS, ANJAN. "DYNAMICS OF SUPER-GAUSSIAN SOLITONS IN BIREFRINGENT OPTICAL FIBERS." Journal of Nonlinear Optical Physics & Materials 10, no. 01 (March 2001): 29–42. http://dx.doi.org/10.1142/s0218863501000413.

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The variational principle is employed to obtain the parameter dynamics of a super-Gaussian chirped soliton that propagates through birefringent optical fibers and is governed by the dispersion-managed vector nonlinear Schrödinger's equation. The waveform deviates from that of a classical soliton. The periodically changing strong chirp of such a soliton reduces the effective nonlinearity that is necessary for balancing the local dispersion. This study is extended to obtain the adiabatic evolution of the parameters of such a soliton in presence of perturbation terms.
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36

Wald, M., I. M. Uzunov, F. Lederer, and S. Wabnitz. "Optimization of soliton transmissions in dispersion-managed fiber links." Optics Communications 145, no. 1-6 (January 1998): 48–52. http://dx.doi.org/10.1016/s0030-4018(97)00363-5.

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37

Hong, Li, and Huang De-Xiu. "Stochastic perturbation in quasi-ideal dispersion-managed soliton system." Chinese Physics 12, no. 6 (May 29, 2003): 615–20. http://dx.doi.org/10.1088/1009-1963/12/6/308.

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38

Qi-Liang, Li, Li Qing-Shan, and Lin Li-Bin. "Soliton-like pulse timing jitter in dispersion-managed systems." Chinese Physics 15, no. 10 (September 21, 2006): 2306–14. http://dx.doi.org/10.1088/1009-1963/15/10/019.

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39

Devaney, J. F. L., W. Forysiak, A. M. Niculae, and N. J. Doran. "Soliton collisions in dispersion-managed wavelength-division-multiplexed systems." Optics Letters 22, no. 22 (November 15, 1997): 1695. http://dx.doi.org/10.1364/ol.22.001695.

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40

Mu, R. M., V. S. Grigoryan, C. R. Menyuk, E. A. Golovchenko, and A. N. Pilipetskii. "Timing-jitter reduction in a dispersion-managed soliton system." Optics Letters 23, no. 12 (June 15, 1998): 930. http://dx.doi.org/10.1364/ol.23.000930.

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41

Mamyshev, P. V., and L. F. Mollenauer. "Soliton collisions in wavelength-division-multiplexed dispersion-managed systems." Optics Letters 24, no. 7 (April 1, 1999): 448. http://dx.doi.org/10.1364/ol.24.000448.

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42

Janeiro, Fernando M., Pedro M. Ramos, and Carlos R. Paiva. "Hamiltonian formulation for dispersion-managed WDM soliton communication systems." Microwave and Optical Technology Letters 21, no. 1 (April 5, 1999): 72–77. http://dx.doi.org/10.1002/(sici)1098-2760(19990405)21:1<72::aid-mop20>3.0.co;2-o.

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43

Ablowitz, Mark J., Gino Biondini, Anjan Biswas, Andrew Docherty, Toshihiko Hirooka, and Sarbarish Chakravarty. "Collision-induced timing shifts in dispersion-managed soliton systems." Optics Letters 27, no. 5 (March 1, 2002): 318. http://dx.doi.org/10.1364/ol.27.000318.

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44

Lushnikov, P. M. "On the boundary of the dispersion-managed soliton existence." Journal of Experimental and Theoretical Physics Letters 72, no. 3 (August 2000): 111–14. http://dx.doi.org/10.1134/1.1316810.

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45

Matsumoto, Masayuki. "Analysis of filter control of dispersion-managed soliton transmission." Journal of the Optical Society of America B 15, no. 12 (December 1, 1998): 2831. http://dx.doi.org/10.1364/josab.15.002831.

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46

Hirooka, T., and S. Wabnitz. "Stabilisation of dispersion-managed soliton transmissions by nonlinear gain." Electronics Letters 35, no. 8 (1999): 655. http://dx.doi.org/10.1049/el:19990463.

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47

Fan Zhang and Peida Ye. "Timing jitter in ultrahigh-speed dispersion-managed soliton systems." IEEE Photonics Technology Letters 14, no. 10 (October 2002): 1421–23. http://dx.doi.org/10.1109/lpt.2002.802071.

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48

Lei, Dajun, and Hui Dong. "Generalized characteristics of soliton in dispersion-managed fiber lasers." Optik 124, no. 16 (August 2013): 2544–48. http://dx.doi.org/10.1016/j.ijleo.2012.07.044.

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49

Zhang, Xiupu, and Peter Andrekson. "Characteristics of Power Enhancement in Dispersion-Managed Soliton Systems." Optical Fiber Technology 3, no. 4 (October 1997): 300–308. http://dx.doi.org/10.1006/ofte.1997.0233.

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50

Wang, Siming, Xuliang Fan, Luming Zhao, Yong Wang, Dingyuan Tang, and Deyuan Shen. "Dissipative vector soliton in a dispersion-managed fiber laser with normal dispersion." Applied Optics 53, no. 35 (December 3, 2014): 8216. http://dx.doi.org/10.1364/ao.53.008216.

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