Chin. Phys. Lett.  2018, Vol. 35 Issue (5): 050202    DOI: 10.1088/0256-307X/35/5/050202
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
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Senyue Lou, Ji Lin 2018 Chin. Phys. Lett. 35 050202
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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
PACS:  02.30.Ik (Integrable systems)  
  42.65.Tg (Optical solitons; nonlinear guided waves)  
  05.45.Yv (Solitons)  
  47.35.Fg (Solitary waves)  
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.
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