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nlin.SI2012★ 54 cited
Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data
Iryna Egorova, Zoya Gladka, Volodymyr Kotlyarov +1
We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Korteweg-de Vries equation with steplike initial data.
math.SP2012★ 4 cited
Scattering theory with finite-gap backgrounds: Transformation operators and characteristic properties of scattering data
Iryna Egorova, Johanna Michor, Gerald Teschl
We develop direct and inverse scattering theory for Jacobi operators (doubly infinite second order difference operators) with steplike coefficients which are asymptotically close t…