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The Interaction of Peregrine Solitons |
| WU Zhen-Kun1**, ZHANG Yun-Zhe2, HU Yi3, WEN Feng1, ZHANG Yi-Qi1, ZHANG Yan-Peng1 |
1Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an 710049
2Institute of Applied Physics, Xi'an University of Arts and Science, Xi'an 710065
3Institute of Education, Taiyuan University, Taiyuan 030001
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| Cite this article: |
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WU Zhen-Kun, ZHANG Yun-Zhe, HU Yi et al 2014 Chin. Phys. Lett. 31 090502 |
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Abstract We theoretically investigate the interaction of two in-phase and out-of-phase Peregrine solitons in a Kerr nonlinear medium, addressing both the cases of first- and second-order solitons. Upon adjusting the interval between the solitons, their interactions exhibit different properties. If the interval is sufficiently large, two Peregrine solitons will propagate individually and will not interact each other. However, if the interval is not very large, the Peregrine solitons will strongly interact and display varying behavior.
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Published: 22 August 2014
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| PACS: |
05.45.Yv
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(Solitons)
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42.65.Tg
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(Optical solitons; nonlinear guided waves)
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42.65.Hw
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(Phase conjugation; photorefractive and Kerr effects)
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[1] Solli D R, Ropers C, Koonath P and Jalali B 2007 Nature 58 1054
[2] Erkintalo M, Genty G and Dudley J M 2009 Opt. Lett. 34 2468
[3] Bludov Yu V, Konotop V V and Akhmediev N 2009 Phys. Rev. A 80 033610
[4] Efimov V B, Ganshin A N et al 2010 Eur. Phys. J. Spec. Top. 185 181
[5] Shats M, Punzmann H and Xia H 2010 Phys. Rev. Lett. 104 104503
[6] Peregrine D H 1983 J. Aust. Math. Soc. Ser. B 25 16
[7] Shrira V I and Geogjaev V V 2010 J. Eng. Math. 67 11
[8] Kibler B, Fatome J et al 2010 Nat. Phys. 6 790
[9] Akhmediev N and Korneev V I 1986 Theor. Math. Phys. 69 1089
[10] Zakharov V E and Shabat A B 1972 Sov. Phys. JETP 34 62
[11] Akhmediev N, Ankiewicz A and Taki M 2009 Phys. Lett. A 373 675
[12] Akhmediev N, Soto-Crespo J M and Ankiewicz A 2009 Phys. Rev. A 80 043818
[13] Zhong W P, Beli? M R and Huang T 2013 Phys. Rev. E 87 065201
[14] Onorato M, Proment D, Clauss G and Klein M 2013 PLoS ONE 8 e54629
[15] Taha T R and Ablowitz M I 1984 J. Comput. Phys. 55 203
[16] Agrawal G P 2009 Nonlinear Fiber Optics 4th edn (Singapore: Academic Press)
[17] Ye F W, Kartashov Y V and Torner L 2007 Phys. Rev. A 76 033812 |
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