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arXiv · 1811.08373

Linearizable boundary value problems for the nonlinear Schrodinger equation in laboratory coordinates

Katelyn Plaisier Leisman·Gino Biondini·Gregor Kovacic
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Abstract

Boundary value problems for the nonlinear Schrodinger equation on the half line in laboratory coordinates are considered. A class of boundary conditions that lead to linearizable problems is identified by introducing appropriate extensions to initial-value problems on the infinite line, either explicitly or by constructing a suitable Backlund transformation. Various soliton solutions are explicitly constructed and studied.

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Katelyn Plaisier Leisman, Gino Biondini, Gregor Kovacic. 2018-11-20. Linearizable boundary value problems for the nonlinear Schrodinger equation in laboratory coordinates. https://arxiv.org/abs/1811.08373

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