A complexity approach to the soliton resolution conjecture

DOI10.1007/s10955-015-1297-7zbMath1327.35332arXiv1407.7570OpenAlexW1580984451WikidataQ123141930 ScholiaQ123141930MaRDI QIDQ887096

Claudio Bonanno

Publication date: 28 October 2015

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

Full work available at URL: https://arxiv.org/abs/1407.7570

zbMATH Keywords

entropycomplexitysolitonsdispersive PDEs

Mathematics Subject Classification ID

Algorithmic information theory (Kolmogorov complexity, etc.) (68Q30) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items (3)

Boundary integral methods for dispersive equations, Airy flow and the modified Korteweg de Vries equation ⋮ Small multi solitons in a double power nonlinear Schrödinger equation ⋮ Solutions with compact time spectrum to nonlinear Klein-Gordon and Schrödinger equations and the Titchmarsh theorem for partial convolution

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• The nonlinear Schrödinger equation: solitons dynamics
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Hylomorphic solitons in the nonlinear Klein-Gordon equation
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Complexity for extended dynamical systems
• A global compact attractor for high-dimensional defocusing nonlinear Schrödinger equations with potential
• Statistical mechanics of the nonlinear Schrödinger equation
• Periodic nonlinear Schrödinger equation and invariant measures
• Profiles of bounded radial solutions of the focusing, energy-critical wave equation
• A mean-field statistical theory for the nonlinear Schrödinger equation
• Invariant measures for NLS in infinite volume
• Classification of the radial solutions of the focusing, energy-critical wave equation
• Solutions of the focusing nonradial critical wave equation with the compactness property
• Invariant Measures and the Soliton Resolution Conjecture
• Excitation thresholds for nonlinear localized modes on lattices
• [https://portal.mardi4nfdi.de/wiki/Publication:4790280 On the ?-volume limit of the focusing cubic Schr�dinger equation]
• Probabilistic Methods for Discrete Nonlinear Schrödinger Equations
• Why are solitons stable?
• An introduction to Kolmogorov complexity and its applications

This page was built for publication: A complexity approach to the soliton resolution conjecture