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Rogue Wave, Breathers and Bright-Dark-Rogue Solutions for the Coupled Schrödinger Equations |
GUO Bo-Ling1, LING Li-Ming1,2**
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1Institute of Applied Physics and Computational Mathematics, Beijing 100088
2The Graduate School of China Academy of Engineering Physics, Beijing 100088
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Cite this article: |
GUO Bo-Ling, LING Li-Ming 2011 Chin. Phys. Lett. 28 110202 |
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Abstract We construct explicit rogue wave solutions, breather solitons, and rogue-bright-dark solutions for the coupled non-linear Schrödinger equations by the Darboux transformation.
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Keywords:
02.30.Ik
02.30.Hq
03.75.Nt
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Received: 12 May 2011
Published: 30 October 2011
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PACS: |
02.30.Ik
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(Integrable systems)
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02.30.Hq
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(Ordinary differential equations)
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03.75.Nt
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(Other Bose-Einstein condensation phenomena)
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[1] Agrawal G P 1995 Nonlinear Fiber Optics (New York: Academic)
[2] Scott A C 1984 Physica Scripta 29 279
[3] E P Bashkin and Vagov A V 1997 Phys. Rev. B 56 6207
[4] Yan Z 2011 Financial Rogue Waves Appearing in the Coupled Nonlinear Volatility and Option Pricing Model arxiv:1101.3107v1
[5] K Dysthe, Krogstad H E and Müller P 2008 Annu. Rev. Fluid Mech. 40 287
[6] Manakov S V 1973 ZETP 65 505
[7] Forest M G, McLaughlin D W, Muraki D J and Wright O C 2000 J. Non. Sci. 10 291
[8] Wright O C and Forest M G 2000 Physica D 141 104
[9] Forest M G, Sheu S P and Wright O C 2000 Phys. Lett. A 266 24
[10] Osborne A R 2009 Nonlinear Ocean Waves (New York: Academic)
[11] Peregrine D H 1983 J. Sust. Math. Soc. B: Appl. Math. 25 16
[12] Akhmediev N, Ankiewicz A and Soto-Crespo J M 2009 Phys. Rev. E 80 026601
[13] Guo B and Ling L 2011 Acta Mathematica Scientia (submitted)
[14] Matveev V B and Salle M A 1991 Darboux Transformations and Solitons (New York: Springer)
[15] Gu C H, Hu H S and Zhou Z X 2005 Darboux Transformations in Integrable Systems: Theory and Their Applications (Berlin: Springer)
[16] Doktorov E V and Leble S B 2007 A Dressing Method in Mathmatical Physics (New York: Springer)
[17] Ling L and Liu Q P 2010 J. Phys. A: Math. Theor. 43 434023
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