The self-dual Yang-Mills equation is reduced to the unreduced Fokas-Lenells system in two Cauchy matrix schemes, yielding explicit N-soliton solutions of the Fokas-Lenells equation.
Fokas, On a class of physically important integrable equations , Physica D, 87 (1995) 145-150
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From the self-dual Yang-Mills equation to the Fokas-Lenells equation
The self-dual Yang-Mills equation is reduced to the unreduced Fokas-Lenells system in two Cauchy matrix schemes, yielding explicit N-soliton solutions of the Fokas-Lenells equation.