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Soliton Solutions to the Coupled Gerdjikov-Ivanov Equation with Rogue-Wave-Like Phenomena
Abstract: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.
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