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- W2089139867 abstract "The Eckhaus equation, which is a nonlinear Schrodinger type equation that can be linearized to the free linear Schrodinger equation, is considered. A linearized analysis of the nonlinear problem indicates that the periodic boundary value problem is ill-posed. The exact solution also demonstrates the ill-posedness, even though the L2 norm of the solution is a constant of the motion. The ill-posedness disappears on the infinite line with square integrable data, but the solitonic solutions, which are not square integrable, are seriously unstable." @default.
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- W2089139867 date "1997-06-01" @default.
- W2089139867 modified "2023-09-26" @default.
- W2089139867 title "On the well-posedness of the Eckhaus equation" @default.
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- W2089139867 doi "https://doi.org/10.1016/s0375-9601(97)00240-5" @default.
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