Space Quasi-Periodic Standing Waves for Nonlinear Schrödinger Equations

Abstract

We construct space quasi-periodic standing wave solutions to the nonlinear Schrödinger equations on R^d for arbitrary d. This is a type of quasi-periodic nonlinear Bloch-Floquet waves.

final version, 29pp; to appear in Commun. Math. Phys

References in corpus (2)

• Quasi-Periodic Solutions For Nonlinear Klein-Gordon Equations
• KAM theory for quasi-periodic equilibria in 1-D quasiperiodic media

Cited by in corpus (2)

• Infinite energy quasi-periodic solutions to nonlinear Schrödinger equations on $\mathbb{R}$
• Analytic solutions of nonlinear elliptic equations on rectangular tori