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- W2004975701 abstract "The orbital stability of solitary waves has generally been established in Sobolev classes of relatively low order, such as H 1 . It is shown here that at least for solitary-wave solutions of certain model equations, a sharp form of orbital stability is valid in L 2 -based Sobolev classes of arbitrarily high order. Our theory includes the classical Korteweg-de Vries equation, the Benjamin- Ono equation and the cubic, nonlinear Schrodinger equation." @default.
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- W2004975701 date "2004-01-01" @default.
- W2004975701 modified "2023-09-30" @default.
- W2004975701 title "Stablity of solitary waves in higher order Sobolev spaces" @default.
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- W2004975701 doi "https://doi.org/10.4310/cms.2004.v2.n1.a3" @default.
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