227 citations · 275 across the 2 of their papers we have counts for
2 papers
nlin.SI2009★ 227 cited
Long-Time Asymptotics for the Camassa-Holm Equation
Anne Boutet de Monvel, Aleksey Kostenko, Dmitry Shepelsky +1
We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Camassa-Holm equation for decaying initial data, completing previous results by A. Bou…
math.SP2008★ 48 cited
The similarity problem for -nonnegative Sturm-Liouville operators
Illya M. Karabash, Aleksey S. Kostenko, Mark M. Malamud
Sufficient conditions for the similarity of the operator with an indefinite weight $r(x)=(\sgn x)|r(x)|$ are obtained. These conditions are formulat…