| GENERAL |
|
|
|
|
Rogue Waves in Nonintegrable KdV-Type Systems |
| Senyue Lou1,2,3**, Ji Lin3 |
1Physics Department and Ningbo Collaborative Innovation Center of Nonlinear Hazard System of Ocean and Atmosphere, Ningbo University, Ningbo 315211
2Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062
3Department of Physics, Zhejiang Normal University, Jinhua 321004
|
|
| Cite this article: |
|
Senyue Lou, Ji Lin 2018 Chin. Phys. Lett. 35 050202 |
|
|
|
|
Abstract It is proved that rogue waves can be found in Korteweg de-Vries (KdV) systems if real nonintegrable effects, higher order nonlinearity and nonlinear diffusion are considered. Rogue waves can also be formed without modulation instability which is considered as the main formation mechanism of the rogue waves.
|
|
|
Received: 06 December 2017
Published: 30 April 2018
|
|
|
|
|
| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11675084 and 11435005, and the K. C. Wong Magna Fund in Ningbo University. |
|
|
|
| [1] | Ginzburg N S, Rozental R M, Sergeev A S, Fedotov A E, Zotova I V and Tarakanov V P 2017 Phys. Rev. Lett. 119 034801 | | [2] | Solli D R, Ropers C, Koonath P and Jalali B 2007 Nature 450 1054 | | [3] | Hohmann R, Kuhl U, Stockmann H J, Kaplan L and Heller E J 2010 Phys. Rev. Lett. 104 093901 | | [4] | Panwar A, Rizvi H and Ryu C M 2013 Phys. Plasmas 20 082101 | | [5] | Moslem W M, Shukla P K and Eliasson B 2011 Europhys. Lett. 96 25002 | | [6] | Onorato M, Residori S, Bortolozzo U, Montinad A and Arecchi F T 2013 Phys. Rep. 528 47 | | [7] | Kharif C and Pelinovsky E 2003 Europhys. J. Mech. B 22 603 | | [8] | Bludov Y V, Konotop V V and Akhmediev N 2009 Phys. Rev. A 80 033610 | | [9] | Yan Z Y, Konotop V V and Akhmediev N 2010 Phys. Rev. E 82 036610 | | [10] | Yan Z Y 2011 Phys. Lett. A 375 4274 | | [11] | Yan Z Y 2010 Commun. Theor. Phys. 54 947 | | [12] | Pedlosky J 1979 Geophysical Fluid Dynamics (New York: Springer-Verlag) p 624 | | [13] | Huang F, Tang X Y, Lou S Y and Lu C H 2007 J. Atmos. Sci. 64 52 | | [14] | Kadomtsev B B and Petviashvili V I 1970 Sov. Phys. Dokl. 15 539 | | [15] | Manakov S V, Zakharov V E, Bordag L A and Matveev V B 1977 Phys. Lett. A 63 205 | | [16] | Hirota R 2004 The Direct Method in Soliton Theory (Cambridge: Cambridge University Press) | | [17] | Ablowitz M J and Clarkson P A 1991 Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge: Cambridge University Press) | | [18] | Lou S Y 2000 Phys. Lett. A 277 94 | | [19] | Tang X Y, Lou S Y and Zhang Y 2002 Phys. Rev. E 66 046601 | | [20] | Tang X Y and Lou S Y 2003 J. Math. Phys. 44 4000 |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
