The stationary equations of a coupled nonlinear Schrödinger system (Q1808260)

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scientific article; zbMATH DE number 1374328
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The stationary equations of a coupled nonlinear Schrödinger system
scientific article; zbMATH DE number 1374328

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    The stationary equations of a coupled nonlinear Schrödinger system (English)
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    6 December 1999
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    The author derives stationary equations of a coupled nonlinear Schrödinger system (shortly CNLS), which in general are integro-differential equations. Moreover the author classifies the stationary equations according to the genus of their spectral curves using reduction theorems which impose additional constraints on the coefficients of the equations. In addition the subset of purely differential stationary equations is constructed. Note that such analysis provides a basis for study of the near homoclinic orbits of the CNLS system.
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    Lax pair
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    integrable system
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    spectral curve
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