29 citations · 29 across the 2 of their papers we have counts for
2 papers
nlin.PS2026
Evolution of instability fronts in sine-Gordon equation dynamics
A. M. Kamchatnov
Solutions of the Whitham modulation equations for one-phase periodic waves obeying the sine-Gordon equation are found that describe the evolution of an oscillatory region behind an…
nlin.SI2002★ 29 cited
On generating functions in the AKNS hierarchy
A. M. Kamchatnov, M. V. Pavlov
It is shown that the self-induced transparency equations can be interpreted as a generating function for as positive so negative flows in the AKNS hierarchy. Mutual commutativity o…