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In current deductions of the inverse scattering method for solving the equation of a ferromagnetic chain, the factor λ-1 brings about difficulties. In this note, we show that this factor should be dropped and an equivalent result to the Takhtajan's equation can be obtained, except for some expected corrections at point λ = 0. It is also verified that the solutions given by the ISM satisfy the equation of a ferromagnetic chain.
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