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Inverse scattering transform for the nonlinear Schrödinger equation on the whole line
Honeycutt, Logan
Honeycutt, Logan
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Abstract
We study the inverse scattering transform through solving an initial-value problem for the nonlinear Schrödinger equation posed on the whole line. We present various details of the constructions required for the inverse scattering transform, including existence and analyticity proofs for the Jost solutions, in accessible ways. The application of the solution technique is closely motivated by an analogy to the Fourier transform of a linear initial-value problem.
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Date
2025-01-01
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University of Kansas
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This item contains archived web content.
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Honeycutt_ku_0099M_20172.pdf
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- Embargoed until 2176-05-31
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Keywords
Mathematics, Inverse scattering, nonlinear Schrödinger equation