31 citations · 96 across the 12 of their papers we have counts for
3 papers · 1 filter
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…
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)…
Steady states in dual-cascade wave turbulence
V. N. Grebenev, S. B. Medvedev, S. V. Nazarenko +1
We study stationary solutions in the differential kinetic equation, which was introduced in for description of a local dual cascade wave turbulence. We give a full classification o…