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A matrix Baker-Akhiezer function associated with the Maxwell-Bloch equations and their finite-gap solutions - MaRDI portal

A matrix Baker-Akhiezer function associated with the Maxwell-Bloch equations and their finite-gap solutions (Q1671683)

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A matrix Baker-Akhiezer function associated with the Maxwell-Bloch equations and their finite-gap solutions
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    A matrix Baker-Akhiezer function associated with the Maxwell-Bloch equations and their finite-gap solutions (English)
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    7 September 2018
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    The authors present the derivation procedure (and its result written in an explicit matrix form) for the Baker-Akhiezer function in the case of the Maxwell-Bloch Equations. In addition, the finite-gap solution to the Maxwell-Bloch equations associated with an appropriate matrix is given as well. The method of constructing operates with Cauchy's and hyperelliptic integrals.
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    Baker-Akhiezer function
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    Maxwell-Bloch equations
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    matrix Riemann-Hilbert problems
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