A numerical and symbolical approximation of the nonlinear Anderson model

DOI10.1088/1367-2630/12/6/063035zbMath1375.35495arXiv0912.3906OpenAlexW2106063704MaRDI QIDQ4594886

Yevgeny Krivolapov, Shmuel Fishman, Avy Soffer

Publication date: 27 November 2017

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3906

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items

Statistical properties of the one dimensional Anderson model relevant for the nonlinear Schrödinger equation in a random potential ⋮ Multifractals competing with solitons on Fibonacci optical lattices ⋮ Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson localization by Arnold diffusion

Cites Work

• Unnamed Item
• On the problem of dynamical localization in the nonlinear Schrödinger equation with a random potential
• Long time Anderson localization for the nonlinear random Schrödinger equation
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Best mean-field for condensates
• Intraband discrete breathers in disordered nonlinear systems. I: Delocalization
• Metal--insulator transition in a weakly interacting many-electron system with localized single-particle states
• Structure of a quantized vortex in boson systems
• On the joint distribution of energy levels of random Schrödinger operators
• Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations
• Perturbation theory for the nonlinear Schrödinger equation with a random potential