Trace formula and new form of N-soliton to the Gerdjikov–Ivanov equation
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DOI: 10.1007/s13324-017-0179-3
Abstract: The Gerdjikov–Ivanov equation is investigated by the Riemann–Hilbert approach and the technique of regularization. The trace formula and new form of N-soliton solution are given. The dynamics of the stationary solitons and non-stationary solitons are… read more here.
Keywords: gerdjikov ivanov; ivanov equation; formula new; new form ... See more keywords
Soliton Solutions to the Coupled Gerdjikov–Ivanov Equation with Rogue-Wave-Like Phenomena
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DOI: 10.1088/0256-307x/34/9/090201
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… read more here.
Keywords: coupled gerdjikov; gerdjikov ivanov; soliton solutions; ivanov equation ... See more keywords