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math.NA2020
Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system in optical applications
Sergey Medvedev, Igor Chekhovskoy, Irina Vaseva +1
Based on the generalized Cayley transform, a family of conservative one-step schemes of the sixth order of accuracy for the Zakharov-Shabat system is constructed. The exponential i…
math.NA2020★ 22 cited
Introducing phase jump tracking -- a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem
Igor Chekhovskoy, Sergey Medvedev, Irina Vaseva +2
We propose a new method for finding discrete eigenvalues for the direct Zakharov-Shabat problem, based on moving in the complex plane along the argument jumps of the function $a(ζ)…