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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

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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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