Abstract
We consider the Riemann—Hilbert method for initial problem of the vector Gerdjikov—Ivanov equation, and obtain the formula for its N-soliton solution, which is expressed as a ratio of (N +1)×(N +1) determinant and N × N determinant. Furthermore, by applying asymptotic analysis, the simple elastic interactions of N-soliton are confirmed, and the shifts of phase and position are also explicitly displayed.
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