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Journal Articles AppliedMath Year : 2022

A Note on the Appearance of the Simplest Antilinear ODE in Several Physical Contexts

Abstract

We review several one-dimensional problems such as those involving linear Schrödinger equation, variable-coefficient Helmholtz equation, Zakharov–Shabat system and Kubelka–Munk equations. We show that they all can be reduced to solving one simple antilinear ordinary differential equation (or its nonhomogeneous version). We point out some of the advantages of the proposed reformulation and call for further investigation of the obtained ODE.
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Dates and versions

hal-03900861 , version 1 (15-12-2022)

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Dmitry Ponomarev. A Note on the Appearance of the Simplest Antilinear ODE in Several Physical Contexts. AppliedMath, 2022, 2 (3), pp.433-445. ⟨10.3390/appliedmath2030024⟩. ⟨hal-03900861⟩
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