The inverse scattering transform: Semi-infinite interval
Mark J. AblowitzMathematics Department, Clarkson College of Technology, Potsdam, New York 13676Harvey SegurMathematics Department, Clarkson College of Technology, Potsdam, New York 13676
1975en
ABI
Abstract
Certain nonlinear evolution equations can be solved on the semi-infinite interval by the method of inverse scattering. These equations are a subset of those which can be solved on the full interval. The equations have even dispersion relations when linearized, and are subject to appropriate homogeneous boundary conditions at the origin.
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