On Solutions of the Integrable Boundary Value Problem for KdV Equation on the Semi-Axis

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作者
M. Yu. Ignatyev
机构
[1] Saratov State University,Department of Mathematics
关键词
KdV equation; Boundary value problems; Integrability; Inverse spectral method; 35Q53; 34A55;
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摘要
This paper is concerned with the Korteweg–de Vries (KdV) equation on the semi-axis. The boundary value problem with inhomogeneous integrable boundary conditions is studied. We establish some characteristic properties of solutions of the problem. Also we construct a wide class of solutions of the problem using the inverse spectral method.
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页码:19 / 47
页数:28
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