A KAM theorem for higher dimensional reversible nonlinear Schrodinger equations
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Date
2022-10-10
Authors
Lou, Zhaowei
Sun, Yingnan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we prove an abstract Kolmogorov-Arnold-Moser (KAM) theorem for infinite dimensional reversible systems. Using this theorem, we obtain the existence of quasi-periodic solutions for a class of reversible (non-Hamiltonian) coupled nonlinear Schrödinger systems on a d-torus.
Description
Keywords
KAM theorem, Reversible vector field, Quasi-periodic solution, Nonlinear Schrödinger equation
Citation
Lou, Z., & Sun, Y. (2022). A KAM theorem for higher dimensional reversible nonlinear Schrodinger equations. <i>Electronic Journal of Differential Equations, 2022</i>(69), pp. 1-25.
Rights
Attribution 4.0 International