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Journals >Acta Photonica Sinica >Volume 49 >Issue 6 >Page 0619001 > Article

Acta Photonica Sinica
Vol. 49, Issue 6, 0619001 (2020)

Generation and Modulation of Rogue Waves on Periodic Background

Shu-qing LI, Yong-xi CHENG, and Feng CHANG

Author Affiliations

Department of Science, Taiyuan Institute Technology, Taiyuan 030008, China

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DOI: 10.3788/gzxb20204906.0619001 Cite this Article

Shu-qing LI, Yong-xi CHENG, Feng CHANG. Generation and Modulation of Rogue Waves on Periodic Background[J]. Acta Photonica Sinica, 2020, 49(6): 0619001 Copy Citation Text

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References

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[2] I NIKOLKINA, I DIDENKULOVA. Rogue waves in 2006-2010. Natural Hazards and Earth System Sciences, 11, 2913-2914(2011).

[3] D R SOLLI, C ROPERS, P KOONATH. Optical rogue waves. Nature, 450, 1054-1057(2007).

[4] Y V BLUDOV, V V KONOTOP, N AKHMEDIEV. Matter rogue waves. Physical Review A, 80, 033610(2009).

[5] N AKHMEDIEV, A ANKIEWICZ, M TAKI. Waves that appear from nowhere and disappear without a trace. Physics Letters A, 373, 675-678(2009).

[6] N AKHMEDIEV, A ANKIEWICZ, J M SOTO-CRES. Rogue waves and rational solutions of the nonlinear Schrödinger equation. Physical Review E, 80, 026601(2009).

[7] B WANGX, B HAN. Novel rogue waves and dynamics in the integrable pair-transition-coupled nonlinear Schrödinger equation. Applied Mathematics Letters, 99, 105987(2020).

[8] Z LANZ. Rogue wave solutions for a coupled nonlinear Schrödinger equation in the birefringent optical fiber. Applied Mathematics Letters, 98, 128-134(2019).

[9] J B CHEN, D E PELINOVSKY. Rogue periodic waves in the focusing nonlinear Schrodinger equation. Proceedings of the Royal Society of London. Series A, 474, 1-18(2018).

[10] , D E PELINOVSKY, R E WHITE. Rogue waves on the double-periodic background in the focusing nonlinear Schrodinger equation. Physical Review E, 100, 052219(2019).

[11] M LIR, X G GENG. Rogue periodic waves of the sine-Gordon equation. Applied Mathematics Letters, 102, 106147(2020).

[14] S M HU, X K MA, D Q LU. Solitons supported by complex PT-symmetric Gaussian potentials. Physical Review A, 84, 043818(2011).

[15] Z W SHI, X J JIANG, X ZHU. Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials. Physical Review A, 84, 053855(2011).

[16] K ABDULLAEVF, Y V KARTASOV, V V KONOTOP. Solitons in PT-symmetric nonlinear lattices. Physical Review A, 83, 041805(2011).

[18] N. KORNEEV V I AKHMEDIEV. Modulation instability and periodic solutions of the nonlinear Schrödinger equation. Theoreticheskaya i Matematicheskaya Fizika, 69, 184-194(1986).

[19] Y C MA. The perturbed plane-wave solutions of the cubic Schrödinger equation. Studies in Applied Mathematics, 60, 43-58(1979).

[20] S Q LI, L LI, Z H LI. Properties of soliton solutions on a cw background in optical fibers with higher-order effects. Journal of the Optical Society of America B, 21, 2089-2094(2004).

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Shu-qing LI, Yong-xi CHENG, Feng CHANG. Generation and Modulation of Rogue Waves on Periodic Background[J]. Acta Photonica Sinica, 2020, 49(6): 0619001

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