663 citations
- Centre National de la Recherche ScientifiqueFR14 papers
- Goddard Space Flight CenterUS14 papers
- Johns Hopkins University Applied Physics LaboratoryUS14 papers
- The University of Texas at San AntonioUS12 papers
- Sorbonne UniversitéFR11 papers
- University of Alaska AnchorageUS10 papers
- University of New HampshireUS10 papers
- University of SouthamptonGB10 papers
- Instituto de Astrofísica de CanariasES9 papers
- Universidad de La LagunaES9 papers
- University of California, Los AngelesUS9 papers
- Centro de AstrobiologíaES8 papers
8 papers · 1 filter
The inverse scattering transform for weak Wigner-von Neumann type potentials
Sergei Grudsky, Alexei Rybkin
In the context of the Cauchy problem for the Korteweg-de Vries equation we extend the inverse scattering transform to initial data that behave at plus infinity like a sum of Wigner…
Norming constants of embedded bound states and bounded positon solutions of the Korteweg-de Vries equation
Alexei Rybkin
In the context of the full line Schrodinger equation, we revisit the binary Darboux transformation (double commutation method) which inserts or removes any number of positive eigen…
On classical solutions of the KdV equation
Alexei Rybkin, Sergei Grudsky
\begin{abstract} We show that if the initial profile for the Korteweg-de Vries (KdV) equation is essentially semibounded from below and $\int^{\infty }x^{5/2}\l…
KdV equation beyond standard assumptions on initial data
Alexei Rybkin
We show that the Cauchy problem for the KdV equation can be solved by the inverse scattering transform (IST) for any initial data bounded from below, decaying sufficiently rapidly…
Inverse Problems for the Heat Equation with Memory
S. A. Avdonin, S. A. Ivanov, J. M. Wang
We study inverse boundary problems for a one dimensional linear integro-differential equation of the Gurtin--Pipkin type with the Dirichlet-to-Neumann map as the inverse data. Unde…
Continuum Eigenmodes in Some Linear Stellar Models
Christopher J. Winfield
We apply parallel approaches in the study of continuous spectra to adiabatic stellar models. We seek continuum eigenmodes for the LAWE formulated as both finite difference and line…