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On the forced nonlinear Schrödinger equation

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Abstract

One considers nonlinear Schrödinger (NLS) equationsiq t =q xx ±2|q|2 q withq(x,0)=q 0(x) andq(0,t)=Q(t) (0≤x, t<∞ andq → 0 asx → ∞). The main thrust is to determine the time evolution of spectral data so that the problem can be solved by inverse scattering. Several approaches are indicated involving different spectral data.

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Authors and Affiliations

  1. University of Illinois, 61801, Urbana, Illinois, U.S.A.

    Robert Carroll

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Carroll, R. On the forced nonlinear Schrödinger equation. Japan J. Appl. Math. 7, 321–344 (1990). https://doi.org/10.1007/BF03167847

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  • DOI: https://doi.org/10.1007/BF03167847

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