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Small-divisor equation with large-variable coefficient and periodic solutions of DNLS equations - MaRDI portal

Small-divisor equation with large-variable coefficient and periodic solutions of DNLS equations (Q479968)

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scientific article; zbMATH DE number 6377789
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Small-divisor equation with large-variable coefficient and periodic solutions of DNLS equations
scientific article; zbMATH DE number 6377789

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    Small-divisor equation with large-variable coefficient and periodic solutions of DNLS equations (English)
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    8 December 2014
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    This paper proves the existence of periodic solutions for perturbations of the derivative nonlinear Schrödinger equation. It makes use of a KAM-type theorem for infinite dimensions in order to obtain the results. The theorem is formulated in a setting appropriate for this type of Schrödinger equations. It is an improvement of previous works.
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    KAM theory
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    derivative nonlinear Schrödinger equation
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    multiple normal frequency
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