Inverse spectral transform analysis of a nonlinear Schrödinger equation with x-dependent coefficients (Q1069061)

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scientific article; zbMATH DE number 3931611
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Inverse spectral transform analysis of a nonlinear Schrödinger equation with x-dependent coefficients
scientific article; zbMATH DE number 3931611

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    Inverse spectral transform analysis of a nonlinear Schrödinger equation with x-dependent coefficients (English)
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    1985
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    A systematic inverse spectral transform analysis and solution of the generalized nonlinear Schrödinger equation \[ iq_ t+(fq)_{xx}+2fq| q|^ 2+2q\int^{x}_{-\infty}fx| q|^ 2 dx=0 \] is presented. Physically interesting forms of the inhomogeneity function f are discussed.
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    inverse spectral transform
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    nonlinear Schrödinger equation
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