7 citations · 12 across the 7 of their papers we have counts for
Showing 2013 · math-phShow all
2 papers · 2 filters
math-ph2013
Modified Korteweg-de Vries equation: modulated elliptic wave and a train of asymptotic solitons
Vladimir Kotlyarov, Minakov Alexander
We study the long-time asymptotic behavior of the Cauchy problem for the modified Korteweg - de Vries equation with an initial function of the step type. This function rapidly tend…
math-ph2013★ 7 cited
Complete linearization of a mixed problem to the Maxwell-Bloch equations by matrix Riemann-Hilbert problem
V. Kotlyarov
Considered in this paper the Maxwell-Bloch (MB) equations became known after Lamb [1-4]. In [5] Ablowitz, Kaup and Newell proposed the inverse scattering transform (IST) to the Max…