Quasi-periodic solutions for a Schrödinger equation with a quintic nonlinear term depending on the time and space variables

Quasi-periodic solutions for a Schrödinger equation with a quintic nonlinear term depending on the time and space variables

Abstract This article is devoted to the study of a nonlinear Schrödinger equation with an x-periodic and t-quasi-periodic quintic nonlinear term. It is proved that the equation admits small-amplitude, linearly stable, real analytic, and quasi-periodic solutions for most values of frequency vector. B...

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Bibliographic Details
Main Authors: Yi Wang, Jie Liu, Min Zhang
Format: Article
Language:English
Published: Springer 2018-05-01
Series:Boundary Value Problems
Subjects:
Schrödinger equation
Quintic nonlinear term
Quasi-periodically forced
x-dependent
Quasi-periodic solution
KAM theory
Online Access:http://link.springer.com/article/10.1186/s13661-018-0996-9

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http://link.springer.com/article/10.1186/s13661-018-0996-9

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