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- W2038866416 abstract "This paper is concerned with the derivative nonlinear Schrödinger equation with periodic boundary conditionsiut+uxx+i(f(|u|2)u)x=0,x∈T:=R/2πZ, where f is real analytic in some neighborhood of the origin in C, f(0)=0, and f′(0)≠0. We show the above equation possesses Cantor families of smooth quasi-periodic solutions of small amplitude. The proof is based on an infinite dimensional KAM theorem for unbounded perturbation vector fields." @default.
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- W2038866416 date "2014-02-01" @default.
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- W2038866416 title "KAM for the derivative nonlinear Schrödinger equation with periodic boundary conditions" @default.
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- W2038866416 doi "https://doi.org/10.1016/j.jde.2013.11.007" @default.
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