Focusing revisited: a renormalization/bifurcation approach

DOI10.1088/0951-7715/16/2/308zbMath1108.35135arXivnlin/0204030OpenAlexW2070573958MaRDI QIDQ4415731

Ioannis G. Kevrekidis, Panayotis G. Kevrekidis, Constantinos I. Siettos

Publication date: 6 August 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0204030

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Bifurcations in context of PDEs (35B32)

Related Items (9)

Stability of trapped solutions of a nonlinear Schrödinger equation with a nonlocal nonlinear self-interaction potential ⋮ Model Order Reduction for Stochastic Dynamical Systems with Continuous Symmetries ⋮ A spectral analysis of the nonlinear Schrödinger equation in the co-exploding frame ⋮ On the construction of the exact analytic or parametric closed-form solutions of standing waves concerning the cubic nonlinear Schrödinger equation ⋮ Revisiting diffusion: Self-similar solutions and the 𝑡^{-1/2} decay in initial and initial-boundary value problems ⋮ Stability of exact solutions of the nonlinear Schrödinger equation in an external potential having supersymmetry and parity-time symmetry ⋮ An exploding glass? ⋮ Projective and coarse projective integration for problems with continuous symmetries ⋮ On the collapse arresting effects of discreteness

This page was built for publication: Focusing revisited: a renormalization/bifurcation approach