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Soliton Solutions to the Coupled Gerdjikov–Ivanov Equation with Rogue-Wave-Like Phenomena

Funds: Supported by the National Natural Science Foundation of China under Grant Nos 11671177 and 11271168, the Jiangsu Qing Lan Project (2014), and the Six Talent Peaks Project of Jiangsu Province under Grant No 2016-JY-08.
  • Received Date: April 17, 2017
  • Published Date: August 31, 2017
  • Bilinear forms of the coupled Gerdjikov–Ivanov equation are derived. The N-soliton solutions to the equation are obtained by Hirota's method. It is interesting that the two-soliton solutions can generate the rogue-wave-like phenomena by selecting special parameters. The equation can be reduced to the Gerdjikov–Ivanov equation as well as its bilinear forms and its solutions.
  • Article Text

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